[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464576-105":59,"doc-detail-464576-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-name-answer-key","Deciding if an Inequality is True - Name: Answer Key","","Worksheet answer key for determining whether inequalities are true or false for given values of n. Problems list individual n values paired with inequality statements using \u003C, >, ≤, ≥ and arithmetic expressions such as multiplication, addition, subtraction, and division. Solutions are provided as True or False for each numbered item, covering problems 1 through 16.",{"@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-name-answer-key/464576/",{"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-name-answer-key/464576.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether an inequality is true or false?","Question",{"text":112,"@type":113},"Substitute the given value of n into the inequality and compare both sides using the given \u003C, >, ≤, or ≥ relation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of inequalities appear in this answer key?",{"text":117,"@type":113},"The problems include linear inequalities and expressions formed with addition, subtraction, multiplication, and division of n, then compared with constants.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the answers shown for each problem?",{"text":121,"@type":113},"The answer key lists each numbered item with its corresponding result as True or False.","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},464576,1790826216,{"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":52,"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 = 43 | 2) n = 50 | 3) | n = 21 |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>7) | 3 × n \u003C 126\u003Cbr>n = 73\u003Cbr>n + 38 > 114\u003Cbr>n = 32\u003Cbr>n ÷ 8 ≤ 4 | n − 15 ≥ 35\u003Cbr>5) n = 20\u003Cbr>9 × n \u003C 181\u003Cbr>8) n = 91\u003Cbr>n − 29 ≥ 64 | 6)\u003Cbr>9) | n ÷ 3 ≤ 7\u003Cbr>n = 97\u003Cbr>n + 55 > 153\u003Cbr>n = 57\u003Cbr>n ÷ 3 \u003C 21 |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| 10) | n = 74 | 11) n = 99 | 12) | n = 52 |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 13)\u003Cbr>16) | n + 59 > 135\u003Cbr>n = 76\u003Cbr>n + 85 ≥ 164\u003Cbr>n = 85 | n − 29 ≥ 72\u003Cbr>14) n = 94\u003Cbr>n − 66 \u003C 31 | 15) | 9 × n ≤ 468\u003Cbr>n = 63\u003Cbr>n ÷ 9 ≤ 6 |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |\n|  | 6 × n > 507 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 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 = 43 2) n = 50 3) n = 21\u003Cbr>3 × n \u003C 126 n − 15 ≥ 35 n ÷ 3 ≤ 7\u003Cbr>4) n = 73 5) n = 20 6) n = 97\u003Cbr>n + 38 > 114 9 × n \u003C 181 n + 55 > 153\u003Cbr>7) n = 32 8) n = 91 9) n = 57 n ÷ 8 ≤ 4 n − 29 ≥ 64 n ÷ 3 \u003C 21\u003Cbr>10) n = 74 11) n = 99 12) n = 52\u003Cbr>n + 59 > 135 n − 29 ≥ 72 9 × n ≤ 468\u003Cbr>13) n = 76 14) n = 94 15) n = 63 n + 85 ≥ 164 n − 66 \u003C 31 n ÷ 9 ≤ 6\u003Cbr>16) n = 85\u003Cbr>6 × n > 507 | Answers\u003Cbr>1.  False \u003Cbr>2.  True \u003Cbr>3.  True \u003Cbr>4.  False \u003Cbr>5.  True \u003Cbr>6.  False \u003Cbr>7.  True \u003Cbr>8.  False \u003Cbr>9.  True \u003Cbr>10.  False \u003Cbr>11.  False \u003Cbr>12.  True \u003Cbr>13.  False \u003Cbr>14.  True \u003Cbr>15.  False \u003Cbr>16.  True  |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \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 = 43\u003Cbr>3 × n \u003C 126 |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) n = 50\u003Cbr>n − 15 ≥ 35 |  |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | n = 21\u003Cbr>n ÷ 3 ≤ 7 |  |  |  |  |  |  |  | 4.   |  |  |  |  |  |\n| 4) | n = 73\u003Cbr>n + 38 > 114 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 5) | n = 20\u003Cbr>9 × n \u003C 181 |  |  |  |  |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |\n| 6) | n = 97\u003Cbr>n + 55 > 153 |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 7) | n = 32\u003Cbr>n ÷ 8 ≤ 4 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |\n| 8) | n = 91\u003Cbr>n − 29 ≥ 64 |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 9) | n = 57\u003Cbr>n ÷ 3 \u003C 21 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | n = 74\u003Cbr>n + 59 > 135 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | n = 99\u003Cbr>n − 29 ≥ 72 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | n = 52\u003Cbr>9 × n ≤ 468 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |","cbCaijSGogxkTZAf","https://ap.wps.com/l/cbCaijSGogxkTZAf","pdf",43274,"English","# Determine Whether Inequalities Are True or False\n## Problems 1-16","[{\"question\":\"How do you decide whether an inequality is true or false?\",\"answer\":\"Substitute the given value of n into the inequality and compare both sides using the given \\u003c, \\u003e, ≤, or ≥ relation.\"},{\"question\":\"What types of inequalities appear in this answer key?\",\"answer\":\"The problems include linear inequalities and expressions formed with addition, subtraction, multiplication, and division of n, then compared with constants.\"},{\"question\":\"Where are the answers shown for each problem?\",\"answer\":\"The answer key lists each numbered item with its corresponding result as True or False.\"}]","Deciding if an Inequality is True - Name: Answer Key | PDF",1790768365]