[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464583-105":59,"doc-detail-464583-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","deciding-if-an-inequality-is-true-answer-key-464583","Deciding if an Inequality is True - Answer Key","","Worksheet material for deciding whether each inequality is true or false when a given value of n is substituted. Each item presents an inequality involving n through addition, subtraction, multiplication, or division and compares it to a numeric threshold. An accompanying answer key lists the truth result for problems 1 through 16, enabling quick checking of computations and inequality reasoning for middle-school math practice.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/deciding-if-an-inequality-is-true-answer-key-464583/464583/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/deciding-if-an-inequality-is-true-answer-key-464583/464583.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-14","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do I determine whether an inequality is true for a given value of n?","Question",{"text":112,"@type":113},"Substitute the provided value of n into the inequality and evaluate each side. Compare the resulting expressions to decide whether the statement is true or false.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What operations appear in these inequalities?",{"text":117,"@type":113},"The worksheet uses addition, subtraction, multiplication, and division with n, then compares the result using inequality symbols like ≥, \u003C, >, and ≤.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can I find the correct answers for the 16 problems?",{"text":121,"@type":113},"The document includes an Answer Key section listing the truth result (True or False) for each problem number from 1 to 16.","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},464583,1790826218,{"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":34,"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 = 71 | 2) n = 39 | 3) | n = 76 |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>7) | n + 27 ≥ 95\u003Cbr>n = 36\u003Cbr>n − 22 \u003C 12\u003Cbr>n = 9\u003Cbr>n ÷ 3 > 2 | n ÷ 3 ≤ 10\u003Cbr>5) n = 40\u003Cbr>6 × n ≥ 242\u003Cbr>8) n = 85\u003Cbr>n + 92 \u003C 175 | 6)\u003Cbr>9) | 6 × n > 454\u003Cbr>n = 62\u003Cbr>n − 20 ≤ 43\u003Cbr>n = 91\u003Cbr>n − 19 > 74 |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| 10) | n = 44 | 11) n = 60 | 12) | n = 44 |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 13)\u003Cbr>16) | 7 × n ≤ 308\u003Cbr>n = 69\u003Cbr>9 × n ≤ 623\u003Cbr>n = 86 | n ÷ 5 ≥ 15\u003Cbr>14) n = 30\u003Cbr>n + 22 ≥ 53 | 15) | n + 79 \u003C 124\u003Cbr>n = 20\u003Cbr>n ÷ 5 > 5 |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |\n|  | n − 19 \u003C 68 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 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 = 71 2) n = 39 3) n = 76\u003Cbr>n + 27 ≥ 95 n ÷ 3 ≤ 10 6 × n > 454\u003Cbr>4) n = 36 5) n = 40 6) n = 62\u003Cbr>n − 22 \u003C 12 6 × n ≥ 242 n − 20 ≤ 43\u003Cbr>7) n = 9 8) n = 85 9) n = 91\u003Cbr>n ÷ 3 > 2 n + 92 \u003C 175 n − 19 > 74\u003Cbr>10) n = 44 11) n = 60 12) n = 44\u003Cbr>7 × n ≤ 308 n ÷ 5 ≥ 15 n + 79 \u003C 124\u003Cbr>13) n = 69 14) n = 30 15) n = 20\u003Cbr>9 × n ≤ 623 n + 22 ≥ 53 n ÷ 5 > 5\u003Cbr>16) n = 86\u003Cbr>n − 19 \u003C 68 | Answers 1.  True  2.  False  3.  True  4.  False  5.  False  6.  True  7.  True  8.  False  9.  False  10.  True  11.  False  12.  True \u003Cbr>13.  True \u003Cbr>14.  False \u003Cbr>15.  False \u003Cbr>16.  True  |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \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 = 71\u003Cbr>n + 27 ≥ 95 |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) n = 39\u003Cbr>n ÷ 3 ≤ 10 |  |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | n = 76\u003Cbr>6 × n > 454 |  |  |  |  |  |  |  | 4.   |  |  |  |  |  |\n| 4) | n = 36\u003Cbr>n − 22 \u003C 12 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 5) | n = 40\u003Cbr>6 × n ≥ 242 |  |  |  |  |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |\n| 6) | n = 62\u003Cbr>n − 20 ≤ 43 |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 7) | n = 9\u003Cbr>n ÷ 3 > 2 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |\n| 8) | n = 85\u003Cbr>n + 92 \u003C 175 |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 9) | n = 91\u003Cbr>n − 19 > 74 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | n = 44\u003Cbr>7 × n ≤ 308 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | n = 60\u003Cbr>n ÷ 5 ≥ 15 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | n = 44\u003Cbr>n + 79 \u003C 124 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |","cbCaicBuJKsG0CVW","https://ap.wps.com/l/cbCaicBuJKsG0CVW","pdf",43234,"English","# Determine Truth of Inequalities\n## Problems 1-10\n## Problems 11-16","[{\"question\":\"How do I determine whether an inequality is true for a given value of n?\",\"answer\":\"Substitute the provided value of n into the inequality and evaluate each side. Compare the resulting expressions to decide whether the statement is true or false.\"},{\"question\":\"What operations appear in these inequalities?\",\"answer\":\"The worksheet uses addition, subtraction, multiplication, and division with n, then compares the result using inequality symbols like ≥, \\u003c, \\u003e, and ≤.\"},{\"question\":\"Where can I find the correct answers for the 16 problems?\",\"answer\":\"The document includes an Answer Key section listing the truth result (True or False) for each problem number from 1 to 16.\"}]","Deciding if an Inequality is True - Answer Key | PDF",1790768377]