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Problems substitute concrete numbers for n into linear inequality expressions using operations such as multiplication and division, then compare the result with target constants using \u003C, >, ≤, and ≥. An accompanying answer key lists the correct True/False outcomes for each numbered inequality. The set includes multiple single- and two-step inequalities with varying algebraic 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Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether each inequality is true or false?","Question",{"text":112,"@type":113},"Substitute the given value of n into the inequality, compute the left-hand side, and compare it with the right-hand side using the given \u003C, >, ≤, or ≥ sign.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of expressions appear in the inequalities?",{"text":117,"@type":113},"The inequalities use linear expressions formed with addition or subtraction, multiplied by constants, divided by constants, and then compared to fixed numbers.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct True/False results be found?",{"text":121,"@type":113},"The document includes an answer key section that lists each numbered problem with its True or False value.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},464577,1791022717,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Deciding if an  \nInequality is True  \nName:  \n\n| Determine whether each inequality is true or false for the given value of n. |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | n = 18 | 2) n = 63 | 3) | n = 76 |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>7) | 5 × n ≤ 90\u003Cbr>n = 52\u003Cbr>n + 42 ≥ 92\u003Cbr>n = 93\u003Cbr>n − 58 > 34 | n ÷ 9 \u003C 4\u003Cbr>5) n = 21 n ÷ 7 \u003C 1\u003Cbr>8) n = 12\u003Cbr>7 × n ≥ 87 | 6)\u003Cbr>9) | n − 9 > 68\u003Cbr>n = 38\u003Cbr>n + 20 ≤ 58\u003Cbr>n = 24\u003Cbr>n ÷ 4 > 3 |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| 10) | n = 64 | 11) n = 53 | 12) | n = 43 |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 13)\u003Cbr>16) | 6 × n \u003C 383\u003Cbr>n = 10\u003Cbr>n + 21 \u003C 32\u003Cbr>n = 42 | n − 21 ≤ 31\u003Cbr>14) n = 42 n − 33 ≤ 8 | 15) | n + 92 ≥ 133\u003Cbr>n = 96\u003Cbr>n ÷ 6 ≥ 19 |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |\n|  | 6 × n > 250 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 1-10\u003Cbr>11-16 | 94 | 88 | 81 | 75 | 69 | 63 | 56 | 50 | 44 | 38 |\n|  |  |  |  |  | 31 | 25 | 19 | 13 | 6 | 0 |  |  |  |  |\n\nDeciding if an  \nInequality is True  \nName: Answer Key  \n\n| Determine whether each inequality is true or false for the given value of n.\u003Cbr>1) n = 18 2) n = 63 3) n = 76\u003Cbr>5 × n ≤ 90 n ÷ 9 \u003C 4 n − 9 > 68\u003Cbr>4) n = 52 5) n = 21 6) n = 38\u003Cbr>n + 42 ≥ 92 n ÷ 7 \u003C 1 n + 20 ≤ 58\u003Cbr>7) n = 93 8) n = 12 9) n = 24 n − 58 > 34 7 × n ≥ 87 n ÷ 4 > 3\u003Cbr>10) n = 64 11) n = 53 12) n = 43\u003Cbr>6 × n \u003C 383 n − 21 ≤ 31 n + 92 ≥ 133\u003Cbr>13) n = 10 14) n = 42 15) n = 96\u003Cbr>n + 21 \u003C 32 n − 33 ≤ 8 n ÷ 6 ≥ 19\u003Cbr>16) n = 42\u003Cbr>6 × n > 250 | Answers\u003Cbr>1.  True \u003Cbr>2.  False \u003Cbr>3.  False \u003Cbr>4.  True \u003Cbr>5.  False \u003Cbr>6.  True \u003Cbr>7.  True \u003Cbr>8.  False \u003Cbr>9.  True \u003Cbr>10.  False \u003Cbr>11.  False \u003Cbr>12.  True \u003Cbr>13.  True \u003Cbr>14.  False \u003Cbr>15.  False \u003Cbr>16.  True  |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \n1-10 11-16  \n\n| 94 | 88 | 81 | 75 | 69 | 63 | 56 | 50 | 44 | 38 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 31 | 25 | 19 | 13 | 6 | 0 |  |  |  |  |\n\nDeciding if an  \nInequality is True  \nName:  \n\n| Determine whether each inequality is true or false for the given value of n.\u003Cbr>1) n = 18\u003Cbr>5 × n ≤ 90 |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | n = 63\u003Cbr>n ÷ 9 \u003C 4 |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | n = 76\u003Cbr>n − 9 > 68 |  |  |  |  |  |  |  | 4.   |  |  |  |  |  |\n| 4) | n = 52\u003Cbr>n + 42 ≥ 92 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 5) | n = 21\u003Cbr>n ÷ 7 \u003C 1 |  |  |  |  |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |\n| 6) | n = 38\u003Cbr>n + 20 ≤ 58 |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 7) | n = 93\u003Cbr>n − 58 > 34 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |\n| 8) | n = 12\u003Cbr>7 × n ≥ 87 |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 9) | n = 24\u003Cbr>n ÷ 4 > 3 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | n = 64\u003Cbr>6 × n \u003C 383 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | n = 53\u003Cbr>n − 21 ≤ 31 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | n = 43\u003Cbr>n + 92 ≥ 133 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |","cbCaiebXicUKRH0f","https://ap.wps.com/l/cbCaiebXicUKRH0f","pdf",43244,"English","# Problems\n## Determine truth of each inequality for n\n# Answer Key","[{\"question\":\"How do you determine whether each inequality is true or false?\",\"answer\":\"Substitute the given value of n into the inequality, compute the left-hand side, and compare it with the right-hand side using the given \\u003c, \\u003e, ≤, or ≥ sign.\"},{\"question\":\"What types of expressions appear in the inequalities?\",\"answer\":\"The inequalities use linear expressions formed with addition or subtraction, multiplied by constants, divided by constants, and then compared to fixed numbers.\"},{\"question\":\"Where can the correct True/False results be found?\",\"answer\":\"The document includes an answer key section that lists each numbered problem with its True or False value.\"}]","Deciding if an Inequality is True | PDF",1790768368]