64:I[522016,["/_next/static/chunks/0pvcd15gyrdle.js","/_next/static/chunks/40k_9635fsobg.js","/_next/static/chunks/31iqr293dd35f.js","/_next/static/chunks/2kny7g7cmdgau.js","/_next/static/chunks/2_2cd57z636zx.js","/_next/static/chunks/34y9kqp57wzq0.js","/_next/static/chunks/2yi2cc26cdq74.js","/_next/static/chunks/0ezaxll684c_6.js","/_next/static/chunks/3snfz_4w-hdm5.js","/_next/static/chunks/3n0q54hl51_be.js","/_next/static/chunks/0aj_rzteljc7y.js","/_next/static/chunks/19iga1irtbmq0.js","/_next/static/chunks/0k20njiihslbq.js","/_next/static/chunks/1gpgplps008af.js","/_next/static/chunks/33ehj3wdouvlx.js","/_next/static/chunks/1pgw3ehs1xmoz.js","/_next/static/chunks/3m8xczvg46f36.js","/_next/static/chunks/1272_n4wxup9k.js","/_next/static/chunks/3jsv6w3nu2ism.js","/_next/static/chunks/3wz70ku3qf4ij.js","/_next/static/chunks/3ly8bew14snrm.js","/_next/static/chunks/22suk_mu94ajm.js","/_next/static/chunks/01ndwrrerm5i5.js","/_next/static/chunks/0f9uychz6rv76.js","/_next/static/chunks/10rom5wn6emj3.js","/_next/static/chunks/21crd__dpmuy4.js","/_next/static/chunks/0kme_vyrrbl-_.js","/_next/static/chunks/1d3u2_n30e63i.js","/_next/static/chunks/1o4x6q07piih_.js","/_next/static/chunks/1jkd7kw6jwqkj.js","/_next/static/chunks/0uawcagtzxfe7.js","/_next/static/chunks/125h_d9zt3-ba.js","/_next/static/chunks/42gl31n104rh1.js","/_next/static/chunks/3vn4xmng3pcex.js","/_next/static/chunks/0jcgk4oe2k2g1.js","/_next/static/chunks/0c4u667y1bix8.js","/_next/static/chunks/32so6bg2s81jk.js","/_next/static/chunks/1r_2084hz4t5k.js","/_next/static/chunks/1ot2601ymv4ng.js","/_next/static/chunks/09juct9z4ddqr.js","/_next/static/chunks/12gl18m58qdy8.js","/_next/static/chunks/3g08p5jjax64u.js","/_next/static/chunks/0hjjiu3cvaxe1.js","/_next/static/chunks/40bupfdtvpz39.js","/_next/static/chunks/3echr_jkr1r1u.js","/_next/static/chunks/3gkrhc_6e99rr.js","/_next/static/chunks/3-um7gt18he3m.js","/_next/static/chunks/1hwqqadofer22.js","/_next/static/chunks/38b1brm5g4n1j.js","/_next/static/chunks/1vmr8wo19e6ky.js","/_next/static/chunks/1fptd2wzhuw7b.js","/_next/static/chunks/16_ghgo3qdsum.js","/_next/static/chunks/4109tpu2eqvyu.js","/_next/static/chunks/2y4bn04u3wdzq.js","/_next/static/chunks/1f_-80oruohsu.js","/_next/static/chunks/0gsdk2idfnqjf.js","/_next/static/chunks/2m_hwq4fgh8mp.js","/_next/static/chunks/1131qzpta95ed.js","/_next/static/chunks/3_g23th_xvfv0.js"],""] 65:I[505014,["/_next/static/chunks/0pvcd15gyrdle.js","/_next/static/chunks/40k_9635fsobg.js","/_next/static/chunks/31iqr293dd35f.js","/_next/static/chunks/2kny7g7cmdgau.js","/_next/static/chunks/2_2cd57z636zx.js","/_next/static/chunks/34y9kqp57wzq0.js","/_next/static/chunks/2yi2cc26cdq74.js","/_next/static/chunks/0ezaxll684c_6.js","/_next/static/chunks/3snfz_4w-hdm5.js","/_next/static/chunks/3n0q54hl51_be.js","/_next/static/chunks/0aj_rzteljc7y.js","/_next/static/chunks/19iga1irtbmq0.js","/_next/static/chunks/0k20njiihslbq.js","/_next/static/chunks/1gpgplps008af.js","/_next/static/chunks/33ehj3wdouvlx.js","/_next/static/chunks/1pgw3ehs1xmoz.js","/_next/static/chunks/3m8xczvg46f36.js","/_next/static/chunks/1272_n4wxup9k.js","/_next/static/chunks/3jsv6w3nu2ism.js","/_next/static/chunks/3wz70ku3qf4ij.js","/_next/static/chunks/3ly8bew14snrm.js","/_next/static/chunks/22suk_mu94ajm.js","/_next/static/chunks/01ndwrrerm5i5.js","/_next/static/chunks/0f9uychz6rv76.js","/_next/static/chunks/10rom5wn6emj3.js","/_next/static/chunks/21crd__dpmuy4.js","/_next/static/chunks/0kme_vyrrbl-_.js","/_next/static/chunks/1d3u2_n30e63i.js","/_next/static/chunks/1o4x6q07piih_.js","/_next/static/chunks/1jkd7kw6jwqkj.js","/_next/static/chunks/0uawcagtzxfe7.js","/_next/static/chunks/125h_d9zt3-ba.js","/_next/static/chunks/42gl31n104rh1.js","/_next/static/chunks/3vn4xmng3pcex.js","/_next/static/chunks/0jcgk4oe2k2g1.js","/_next/static/chunks/0c4u667y1bix8.js","/_next/static/chunks/32so6bg2s81jk.js","/_next/static/chunks/1r_2084hz4t5k.js","/_next/static/chunks/1ot2601ymv4ng.js","/_next/static/chunks/09juct9z4ddqr.js","/_next/static/chunks/12gl18m58qdy8.js","/_next/static/chunks/3g08p5jjax64u.js","/_next/static/chunks/0hjjiu3cvaxe1.js","/_next/static/chunks/40bupfdtvpz39.js","/_next/static/chunks/3echr_jkr1r1u.js","/_next/static/chunks/3gkrhc_6e99rr.js","/_next/static/chunks/3-um7gt18he3m.js","/_next/static/chunks/1hwqqadofer22.js","/_next/static/chunks/38b1brm5g4n1j.js","/_next/static/chunks/1vmr8wo19e6ky.js","/_next/static/chunks/1fptd2wzhuw7b.js","/_next/static/chunks/16_ghgo3qdsum.js","/_next/static/chunks/4109tpu2eqvyu.js","/_next/static/chunks/2y4bn04u3wdzq.js","/_next/static/chunks/1f_-80oruohsu.js","/_next/static/chunks/0gsdk2idfnqjf.js","/_next/static/chunks/2m_hwq4fgh8mp.js","/_next/static/chunks/1131qzpta95ed.js","/_next/static/chunks/3_g23th_xvfv0.js"],"default"] 66:I[209158,["/_next/static/chunks/0pvcd15gyrdle.js","/_next/static/chunks/40k_9635fsobg.js","/_next/static/chunks/31iqr293dd35f.js","/_next/static/chunks/2kny7g7cmdgau.js","/_next/static/chunks/2_2cd57z636zx.js","/_next/static/chunks/34y9kqp57wzq0.js","/_next/static/chunks/2yi2cc26cdq74.js","/_next/static/chunks/0ezaxll684c_6.js","/_next/static/chunks/3snfz_4w-hdm5.js","/_next/static/chunks/3n0q54hl51_be.js","/_next/static/chunks/0aj_rzteljc7y.js","/_next/static/chunks/19iga1irtbmq0.js","/_next/static/chunks/0k20njiihslbq.js","/_next/static/chunks/1gpgplps008af.js","/_next/static/chunks/33ehj3wdouvlx.js","/_next/static/chunks/1pgw3ehs1xmoz.js","/_next/static/chunks/3m8xczvg46f36.js","/_next/static/chunks/1272_n4wxup9k.js","/_next/static/chunks/3jsv6w3nu2ism.js","/_next/static/chunks/3wz70ku3qf4ij.js","/_next/static/chunks/3ly8bew14snrm.js","/_next/static/chunks/22suk_mu94ajm.js","/_next/static/chunks/01ndwrrerm5i5.js","/_next/static/chunks/0f9uychz6rv76.js","/_next/static/chunks/10rom5wn6emj3.js","/_next/static/chunks/21crd__dpmuy4.js","/_next/static/chunks/0kme_vyrrbl-_.js","/_next/static/chunks/1d3u2_n30e63i.js","/_next/static/chunks/1o4x6q07piih_.js","/_next/static/chunks/1jkd7kw6jwqkj.js","/_next/static/chunks/0uawcagtzxfe7.js","/_next/static/chunks/125h_d9zt3-ba.js","/_next/static/chunks/42gl31n104rh1.js","/_next/static/chunks/3vn4xmng3pcex.js","/_next/static/chunks/0jcgk4oe2k2g1.js","/_next/static/chunks/0c4u667y1bix8.js","/_next/static/chunks/32so6bg2s81jk.js","/_next/static/chunks/1r_2084hz4t5k.js","/_next/static/chunks/1ot2601ymv4ng.js","/_next/static/chunks/09juct9z4ddqr.js","/_next/static/chunks/12gl18m58qdy8.js","/_next/static/chunks/3g08p5jjax64u.js","/_next/static/chunks/0hjjiu3cvaxe1.js","/_next/static/chunks/40bupfdtvpz39.js","/_next/static/chunks/3echr_jkr1r1u.js","/_next/static/chunks/3gkrhc_6e99rr.js","/_next/static/chunks/3-um7gt18he3m.js","/_next/static/chunks/1hwqqadofer22.js","/_next/static/chunks/38b1brm5g4n1j.js","/_next/static/chunks/1vmr8wo19e6ky.js","/_next/static/chunks/1fptd2wzhuw7b.js","/_next/static/chunks/16_ghgo3qdsum.js","/_next/static/chunks/4109tpu2eqvyu.js","/_next/static/chunks/2y4bn04u3wdzq.js","/_next/static/chunks/1f_-80oruohsu.js","/_next/static/chunks/0gsdk2idfnqjf.js","/_next/static/chunks/2m_hwq4fgh8mp.js","/_next/static/chunks/1131qzpta95ed.js","/_next/static/chunks/3_g23th_xvfv0.js"],"PromoSlot"] 67:I[375075,["/_next/static/chunks/0pvcd15gyrdle.js","/_next/static/chunks/40k_9635fsobg.js","/_next/static/chunks/31iqr293dd35f.js","/_next/static/chunks/2kny7g7cmdgau.js","/_next/static/chunks/2_2cd57z636zx.js","/_next/static/chunks/34y9kqp57wzq0.js","/_next/static/chunks/2yi2cc26cdq74.js","/_next/static/chunks/0ezaxll684c_6.js","/_next/static/chunks/3snfz_4w-hdm5.js","/_next/static/chunks/3n0q54hl51_be.js","/_next/static/chunks/0aj_rzteljc7y.js","/_next/static/chunks/19iga1irtbmq0.js","/_next/static/chunks/0k20njiihslbq.js","/_next/static/chunks/1gpgplps008af.js","/_next/static/chunks/33ehj3wdouvlx.js","/_next/static/chunks/1pgw3ehs1xmoz.js","/_next/static/chunks/3m8xczvg46f36.js","/_next/static/chunks/1272_n4wxup9k.js","/_next/static/chunks/3jsv6w3nu2ism.js","/_next/static/chunks/3wz70ku3qf4ij.js","/_next/static/chunks/3ly8bew14snrm.js","/_next/static/chunks/22suk_mu94ajm.js","/_next/static/chunks/01ndwrrerm5i5.js","/_next/static/chunks/0f9uychz6rv76.js","/_next/static/chunks/10rom5wn6emj3.js","/_next/static/chunks/21crd__dpmuy4.js","/_next/static/chunks/0kme_vyrrbl-_.js","/_next/static/chunks/1d3u2_n30e63i.js","/_next/static/chunks/1o4x6q07piih_.js","/_next/static/chunks/1jkd7kw6jwqkj.js","/_next/static/chunks/0uawcagtzxfe7.js","/_next/static/chunks/125h_d9zt3-ba.js","/_next/static/chunks/42gl31n104rh1.js","/_next/static/chunks/3vn4xmng3pcex.js","/_next/static/chunks/0jcgk4oe2k2g1.js","/_next/static/chunks/0c4u667y1bix8.js","/_next/static/chunks/32so6bg2s81jk.js","/_next/static/chunks/1r_2084hz4t5k.js","/_next/static/chunks/1ot2601ymv4ng.js","/_next/static/chunks/09juct9z4ddqr.js","/_next/static/chunks/12gl18m58qdy8.js","/_next/static/chunks/3g08p5jjax64u.js","/_next/static/chunks/0hjjiu3cvaxe1.js","/_next/static/chunks/40bupfdtvpz39.js","/_next/static/chunks/3echr_jkr1r1u.js","/_next/static/chunks/3gkrhc_6e99rr.js","/_next/static/chunks/3-um7gt18he3m.js","/_next/static/chunks/1hwqqadofer22.js","/_next/static/chunks/38b1brm5g4n1j.js","/_next/static/chunks/1vmr8wo19e6ky.js","/_next/static/chunks/1fptd2wzhuw7b.js","/_next/static/chunks/16_ghgo3qdsum.js","/_next/static/chunks/4109tpu2eqvyu.js","/_next/static/chunks/2y4bn04u3wdzq.js","/_next/static/chunks/1f_-80oruohsu.js","/_next/static/chunks/0gsdk2idfnqjf.js","/_next/static/chunks/2m_hwq4fgh8mp.js","/_next/static/chunks/1131qzpta95ed.js","/_next/static/chunks/3_g23th_xvfv0.js"],"ProblemTypeClient",1] 4b:[["$","script",null,{"id":"problem-type-schema","type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Course\",\"name\":\"№7 Числовые неравенства, координатная прямая\",\"description\":\"Часть 1: сравнение чисел, числа на прямой, неравенства\",\"url\":\"https://sdamex.com/math/oge-math/problems/types/oge-math-type-7\",\"courseCode\":\"type_7\",\"provider\":{\"@type\":\"Organization\",\"name\":\"SdamEx\",\"url\":\"https://sdamex.com\"},\"educationalLevel\":{\"@type\":\"EducationalOccupationalCredential\",\"credentialCategory\":\"ЕГЭ\"},\"hasCourseInstance\":{\"@type\":\"CourseInstance\",\"courseMode\":\"online\"}}"}}],["$","script",null,{"id":"breadcrumb-schema","type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Математика\",\"item\":\"https://sdamex.com/math\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ОГЭ (математика)\",\"item\":\"https://sdamex.com/math/oge-math\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Задачи\",\"item\":\"https://sdamex.com/math/oge-math/problems\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"№7 Числовые неравенства, координатная прямая\"}]}"}}],["$","header",null,{"className":"mb-4 sm:mb-6","children":[["$","nav",null,{"aria-label":"Хлебные крошки","className":"min-w-0 mb-1.5","children":["$","ol",null,{"className":"flex flex-wrap items-center gap-x-1 gap-y-0.5 text-xs text-muted-foreground","children":[["$","li","Математика-0",{"className":"flex min-w-0 items-center gap-x-1","children":[false,["$","$L64",null,{"prefetch":false,"href":"/math","className":"relative truncate transition-colors hover:text-foreground after:absolute after:-inset-y-2 after:inset-x-0","children":"Математика"}]]}],["$","li","ОГЭ (математика)-1",{"className":"flex min-w-0 items-center gap-x-1","children":[["$","$L65",null,{"ref":"$undefined","iconNode":[["path",{"d":"m9 18 6-6-6-6","key":"mthhwq"}]],"className":"lucide-chevron-right h-3 w-3 shrink-0 opacity-60","aria-hidden":true}],["$","$L64",null,{"prefetch":false,"href":"/math/oge-math","className":"relative truncate transition-colors hover:text-foreground after:absolute after:-inset-y-2 after:inset-x-0","children":"ОГЭ (математика)"}]]}],["$","li","Задачи-2",{"className":"flex min-w-0 items-center gap-x-1","children":[["$","$L65",null,{"ref":"$undefined","iconNode":"$4b:2:props:children:0:props:children:props:children:1:props:children:0:props:iconNode","className":"lucide-chevron-right h-3 w-3 shrink-0 opacity-60","aria-hidden":true}],["$","$L64",null,{"prefetch":false,"href":"/math/oge-math/problems","className":"relative truncate transition-colors hover:text-foreground after:absolute after:-inset-y-2 after:inset-x-0","children":"Задачи"}]]}],["$","li","№7 Числовые неравенства, координатная прямая-3",{"className":"flex min-w-0 items-center gap-x-1","children":[["$","$L65",null,{"ref":"$undefined","iconNode":"$4b:2:props:children:0:props:children:props:children:1:props:children:0:props:iconNode","className":"lucide-chevron-right h-3 w-3 shrink-0 opacity-60","aria-hidden":true}],["$","span",null,{"className":"truncate text-foreground/80","aria-current":"page","children":"№7 Числовые неравенства, координатная прямая"}]]}]]}]}],"$undefined",["$","div",null,{"className":"flex min-w-0 flex-wrap items-center gap-x-3 gap-y-1","children":[["$","h1",null,{"className":"min-w-0 font-semibold tracking-tight text-foreground text-2xl sm:text-3xl","children":"№7 Числовые неравенства, координатная прямая"}],"$undefined"]}],"$undefined",["$","div",null,{"className":"mt-2 max-w-3xl text-sm leading-relaxed text-muted-foreground","children":["$","p",null,{"children":["Открытый банк задач типа «","№7 Числовые неравенства, координатная прямая","» с проверкой решений ИИ. Решай онлайн, разбирай ошибки, отслеживай прогресс."]}]}],"$undefined",["$","div",null,{"className":"mt-3","children":["$","$L66",null,{"slot":"announcement","subject":"math","exam":"oge-math"}]}]]}],["$","$L67",null,{"subject":"math","examCode":"oge-math","type":"oge-math-type-7","serverProblemType":{"id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","code":"oge-math-type-7","task_number":7,"name":"Числовые неравенства, координатная прямая","description":"Часть 1: сравнение чисел, числа на прямой, неравенства","exam_id":null,"exam_code":"oge-math","total_count":103},"serverProblems":{"key":"/api/problems?exam=oge-math&task_number=7&problem_type_id=931e3c79-627d-41c3-9899-8f6ce6984fa9&sort=relevance&sortOrder=desc&page=6&pageSize=20&limit=20","data":{"total":103,"page":6,"pageSize":20,"items":[{"id":"161d6b86-7a25-4c92-a0c9-d444d21dce04","short_id":18743,"topic_id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","problem_type_id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","task_number":7,"part":1,"difficulty":2,"score":1,"content_text":"Между какими целыми числами заключено число $\\frac{110}{13}$?\n\n1) 8 и 9\n\n2) 9 и 10\n\n3) 10 и 11\n\n4) 11 и 12","answer_text":"1","solution_text":"Разделим $110$ на $13$ с остатком:\n\n$$110 = 13 \\cdot 8 + 6,$$\n\nпоэтому\n\n$$\\frac{110}{13} = 8\\frac{6}{13}.$$\n\nТак как $0 < \\frac{6}{13} < 1$, получаем\n\n$$8 < \\frac{110}{13} < 9.$$\n\nПроверка границ: $13 \\cdot 8 = 104 < 110$ и $13 \\cdot 9 = 117 > 110$. Значит, число $\\frac{110}{13} \\approx 8{,}46$ заключено между целыми числами $8$ и $9$ — это вариант 1.\n\n**Ответ:** 1 (8 и 9).","explanation":null,"source_name":"ФИПИ, открытый банк заданий ОГЭ (математика)","origin_name":"ФИПИ","is_exam_style":false,"has_content_images":false,"has_solution_images":false,"has_answer_images":false,"metadata":{"answer_confidence":"high","answer_input_type":"choice_one","classify_confidence":"high","fipi_guid":"01EA6191332490744212705B3791FB1C","fipi_short":"F2CF43","qkind":"ILI_STD_SELECTONE","source":"fipi_oge_bank","tags":["обыкновенные дроби","оценка числа","неполное частное","сравнение чисел"]},"created_at":"2026-07-18T15:00:58.558218Z","updated_at":"2026-08-31T15:37:35.489242Z","is_favorite":false,"is_solved":false,"is_reported":false,"topic":{"id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","name":"Числа на прямой","description":null},"exam_obj":{"id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","code":"oge-math","name":"ОГЭ (математика)","subject_name":"Математика","subject_code":"math","exam_type":"ОГЭ","description":"Основной государственный экзамен по математике (9 класс): 25 заданий, 235 минут. Часть 1 — задания 1-19 с кратким ответом (1 балл), часть 2 — задания 20-25 с развёрнутым ответом (2 балла). Максимум 31 первичный балл, итоговая отметка 2-5.","has_part2":true,"max_task_number":25,"metadata":{"duration_minutes":235,"geometry_min_points":2,"geometry_min_points_note":"Для отметки выше 2 необходимо >=2 первичных баллов за геометрию (задания 15-19, 23-25); кодируется в скоринге пробника через geometry_tasks + geometry_min_points (0423)","geometry_tasks":[15,16,17,18,19,23,24,25],"hidden":false,"max_secondary_score":5,"mock_exam_enabled":true,"part1_tasks":19,"part2_tasks":[20,21,22,23,24,25],"score_conversion":[2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5],"scoring_table":{"1":1,"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":2,"21":2,"22":2,"23":2,"24":2,"25":2},"task_count":25,"year":2026},"created_at":"0001-01-01T00:00:00Z","updated_at":"0001-01-01T00:00:00Z","problem_count":0,"bank_problem_count":0,"theory_count":0,"system_collection_count":0},"tags":[{"id":"31d4e4b7-a2c1-4cbd-85ff-1aa0dec4e314","code":"tag-45","name":"Сравнение чисел"},{"id":"33a6ace9-99be-4b5e-9b2a-7716d2d006e8","code":"tag-980","name":"сравнение чисел"},{"id":"74b04bb2-fda4-4baa-b83a-29ab3e9610a6","code":"tag-477","name":"обыкновенные дроби"},{"id":"b3003f1d-557e-49ec-afe6-88d5b4ad2f87","code":"tag-460","name":"неполное частное"},{"id":"ba9ad036-ebb7-4197-88fe-058858fe9889","code":"tag-511","name":"оценка числа"}],"problem_type":{"id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","code":"oge-math-type-7","task_number":7,"exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","name":"Числовые неравенства, координатная прямая","description":"Часть 1: сравнение чисел, числа на прямой, неравенства","metadata":{"answer_format":"single_choice","answer_format_source":"slot-canon 2026-08-31"}}},{"id":"f2274ed2-8ffe-4f33-9a09-65a2b710ff35","short_id":18733,"topic_id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","problem_type_id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","task_number":7,"part":1,"difficulty":2,"score":1,"content_text":"Одно из чисел $\\frac{55}{19}$, $\\frac{64}{19}$, $\\frac{72}{19}$ и $\\frac{79}{19}$ отмечено на числовой прямой точкой *A*.\n\n![Числовая прямая с равномерными штрихами, подписаны отметки 0 и 1; точка A отмечена между третьим и четвёртым штрихами после нуля, примерно на трети отрезка от 3 к 4](https://db.sdamex.com/storage/v1/object/public/math_prof_imgs/oge/01515F4C6DAF8157434E1F297DA43343/xs3qstsrc01515F4C6DAF8157434E1F297DA43343_6_1734422152.png)\n\nКакое это число?\n\n1) $\\frac{55}{19}$\n\n2) $\\frac{64}{19}$\n\n3) $\\frac{72}{19}$\n\n4) $\\frac{79}{19}$","answer_text":"2","solution_text":"Выделим целую часть каждой дроби:\n\n$$\\frac{55}{19}=2\\frac{17}{19},\\qquad \\frac{64}{19}=3\\frac{7}{19},\\qquad \\frac{72}{19}=3\\frac{15}{19},\\qquad \\frac{79}{19}=4\\frac{3}{19}.$$\n\nНа рисунке единичный отрезок — расстояние между соседними штрихами (от $0$ до $1$). Точка $A$ лежит между третьим и четвёртым штрихами после нуля, то есть $3=2 первичных баллов за геометрию (задания 15-19, 23-25); кодируется в скоринге пробника через geometry_tasks + geometry_min_points (0423)","geometry_tasks":[15,16,17,18,19,23,24,25],"hidden":false,"max_secondary_score":5,"mock_exam_enabled":true,"part1_tasks":19,"part2_tasks":[20,21,22,23,24,25],"score_conversion":[2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5],"scoring_table":{"1":1,"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":2,"21":2,"22":2,"23":2,"24":2,"25":2},"task_count":25,"year":2026},"created_at":"0001-01-01T00:00:00Z","updated_at":"0001-01-01T00:00:00Z","problem_count":0,"bank_problem_count":0,"theory_count":0,"system_collection_count":0},"tags":[{"id":"31d4e4b7-a2c1-4cbd-85ff-1aa0dec4e314","code":"tag-45","name":"Сравнение чисел"},{"id":"33a6ace9-99be-4b5e-9b2a-7716d2d006e8","code":"tag-980","name":"сравнение чисел"},{"id":"5d982ac1-7a10-4c82-8360-8558e343d8ad","code":"tag-461","name":"неправильная дробь"},{"id":"74b04bb2-fda4-4baa-b83a-29ab3e9610a6","code":"tag-477","name":"обыкновенные дроби"},{"id":"ba9ad036-ebb7-4197-88fe-058858fe9889","code":"tag-511","name":"оценка числа"},{"id":"be65932e-76f1-4635-8f6a-d290fdfdf2f0","code":"tag-417","name":"координатная прямая"}],"problem_type":{"id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","code":"oge-math-type-7","task_number":7,"exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","name":"Числовые неравенства, координатная прямая","description":"Часть 1: сравнение чисел, числа на прямой, неравенства","metadata":{"answer_format":"single_choice","answer_format_source":"slot-canon 2026-08-31"}}},{"id":"a6893fa3-610b-4fa2-8a54-c075bd1137ac","short_id":18724,"topic_id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","problem_type_id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","task_number":7,"part":1,"difficulty":2,"score":1,"content_text":"На координатной прямой отмечены числа $x$ и $y$.\n\n![Координатная прямая: точка $y$ левее нуля, точка $x$ правее нуля, причём $x$ удалена от нуля дальше, чем $y$](https://db.sdamex.com/storage/v1/object/public/math_prof_imgs/oge/008E84293C5AB98E47539B211B8DC443/xs3qstsrc008E84293C5AB98E47539B211B8DC443_8_1734423599.png)\n\nКакое из приведённых утверждений для этих чисел верно?\n\n1) $x+y>0$\n\n2) $x{y}^{2}\\ <0$\n\n3) $x-y<0$\n\n4) ${x}^{2}y>0$","answer_text":"1","solution_text":"По рисунку точка $y$ лежит левее нуля, а точка $x$ — правее нуля, значит\n$$y<00$ и $x>0$, поэтому $xy^{2}>0$ — неверно.\n- **3)** $x-y$: $x>0$ и $-y>0$, поэтому $x-y>0$ — неверно.\n- **4)** $x^{2}y$: $x^{2}>0$ и $y<0$, поэтому $x^{2}y<0$ — неверно.\n\nОстаётся вариант **1)**. Он и верен: по рисунку точка $x$ удалена от нуля дальше, чем точка $y$, то есть $|x|>|y|$, а так как $x>0$, то $x+y=|x|-|y|>0$.\n\n**Ответ:** 1.","explanation":null,"source_name":"ФИПИ, открытый банк заданий ОГЭ (математика)","origin_name":"ФИПИ","is_exam_style":false,"has_content_images":false,"has_solution_images":false,"has_answer_images":false,"metadata":{"answer_confidence":"high","answer_input_type":"choice_one","classify_confidence":"high","fipi_guid":"008E84293C5AB98E47539B211B8DC443","fipi_short":"453B45","qkind":"ILI_STD_SELECTONE","source":"fipi_oge_bank","tags":["координатная прямая","знаки чисел","сравнение чисел","модуль числа"]},"created_at":"2026-07-18T15:00:58.558218Z","updated_at":"2026-08-31T15:37:35.489242Z","is_favorite":false,"is_solved":false,"is_reported":false,"topic":{"id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","name":"Числа на прямой","description":null},"exam_obj":{"id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","code":"oge-math","name":"ОГЭ (математика)","subject_name":"Математика","subject_code":"math","exam_type":"ОГЭ","description":"Основной государственный экзамен по математике (9 класс): 25 заданий, 235 минут. Часть 1 — задания 1-19 с кратким ответом (1 балл), часть 2 — задания 20-25 с развёрнутым ответом (2 балла). Максимум 31 первичный балл, итоговая отметка 2-5.","has_part2":true,"max_task_number":25,"metadata":{"duration_minutes":235,"geometry_min_points":2,"geometry_min_points_note":"Для отметки выше 2 необходимо >=2 первичных баллов за геометрию (задания 15-19, 23-25); кодируется в скоринге пробника через geometry_tasks + geometry_min_points (0423)","geometry_tasks":[15,16,17,18,19,23,24,25],"hidden":false,"max_secondary_score":5,"mock_exam_enabled":true,"part1_tasks":19,"part2_tasks":[20,21,22,23,24,25],"score_conversion":[2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5],"scoring_table":{"1":1,"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":2,"21":2,"22":2,"23":2,"24":2,"25":2},"task_count":25,"year":2026},"created_at":"0001-01-01T00:00:00Z","updated_at":"0001-01-01T00:00:00Z","problem_count":0,"bank_problem_count":0,"theory_count":0,"system_collection_count":0},"tags":[{"id":"0148c122-19f0-472b-b8c1-162241eb57d1","code":"tag-2","name":"Модуль числа"},{"id":"31d4e4b7-a2c1-4cbd-85ff-1aa0dec4e314","code":"tag-45","name":"Сравнение чисел"},{"id":"33a6ace9-99be-4b5e-9b2a-7716d2d006e8","code":"tag-980","name":"сравнение чисел"},{"id":"be65932e-76f1-4635-8f6a-d290fdfdf2f0","code":"tag-417","name":"координатная прямая"},{"id":"da06b24c-f6be-4d02-bbb8-4bfc6dd93f9e","code":"tag-382","name":"знаки чисел"},{"id":"da7c43d6-c792-49b4-ae18-fad888360023","code":"tag-966","name":"модуль числа"}],"problem_type":{"id":"931e3c79-627d-41c3-9899-8f6ce6984fa9","code":"oge-math-type-7","task_number":7,"exam_id":"b0db9506-ddcf-4200-8815-7a709ea0dc4e","name":"Числовые неравенства, координатная прямая","description":"Часть 1: сравнение чисел, числа на прямой, неравенства","metadata":{"answer_format":"single_choice","answer_format_source":"slot-canon 2026-08-31"}}}],"facets":{"topics":[{"id":"45db12ec-15f0-4bb6-85e9-c2fe3e8b440b","name":"Неравенства","count":5},{"id":"44376e3c-2856-45f7-95a7-21483ac54c80","name":"Сравнение чисел","count":13},{"id":"22f1252d-e7c8-497d-81fb-f6a7820c5662","name":"Числа на прямой","count":85}],"difficulty":[{"level":2,"count":3}],"boards":[],"origins":[{"code":"ФИПИ","name":"ФИПИ","count":103}],"tags":[{"code":"tag-980","name":"сравнение чисел","count":94},{"code":"tag-45","name":"Сравнение чисел","count":94},{"code":"tag-417","name":"координатная прямая","count":69},{"code":"tag-477","name":"обыкновенные дроби","count":39},{"code":"tag-511","name":"оценка числа","count":36},{"code":"tag-408","name":"квадратный корень","count":24},{"code":"tag-510","name":"оценка иррационального числа","count":15},{"code":"tag-354","name":"десятичные дроби","count":12},{"code":"tag-780","name":"числовые неравенства","count":11},{"code":"tag-384","name":"знак разности","count":9},{"code":"tag-382","name":"знаки чисел","count":8},{"code":"tag-462","name":"неравенства","count":7},{"code":"tag-966","name":"модуль числа","count":6},{"code":"tag-2","name":"Модуль числа","count":6},{"code":"tag-778","name":"числовой промежуток","count":6},{"code":"tag-301","name":"выделение целой части","count":5},{"code":"tag-461","name":"неправильная дробь","count":5},{"code":"tag-618","name":"разность чисел","count":5},{"code":"tag-775","name":"числа на прямой","count":5},{"code":"tag-776","name":"числовая прямая","count":5},{"code":"tag-353","name":"десятичная дробь","count":4},{"code":"tag-506","name":"оценка дроби","count":4},{"code":"tag-383","name":"знак произведения","count":3},{"code":"tag-385","name":"знак числа","count":3},{"code":"tag-392","name":"иррациональные числа","count":3},{"code":"tag-507","name":"оценка значения","count":3},{"code":"tag-509","name":"оценка значения корня","count":3},{"code":"tag-765","name":"целая часть","count":3},{"code":"tag-777","name":"числовой отрезок","count":3},{"code":"tag-271","name":"арифметический квадратный корень","count":2},{"code":"tag-801","name":"арифметический корень","count":2},{"code":"tag-476","name":"обыкновенная дробь","count":2},{"code":"tag-504","name":"отрицательные числа","count":2},{"code":"tag-508","name":"оценка значения дроби","count":2},{"code":"tag-864","name":"оценка корня","count":2},{"code":"tag-865","name":"оценка положения","count":2},{"code":"tag-625","name":"рациональные числа","count":2},{"code":"tag-782","name":"числовые промежутки","count":2},{"code":"tag-810","name":"деление с остатком","count":1},{"code":"tag-827","name":"иррациональное число","count":1},{"code":"tag-837","name":"квадраты чисел","count":1},{"code":"tag-460","name":"неполное частное","count":1},{"code":"tag-875","name":"положительные и отрицательные числа","count":1},{"code":"tag-881","name":"принадлежность отрезку","count":1},{"code":"tag-614","name":"разность","count":1},{"code":"tag-919","name":"сравнение дробей","count":1}]}}}}]]

Фильтры

Условие

Решение

Ответ

Условие

Решение

Ответ

Условие

Решение

Ответ