[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464575-105":59,"doc-detail-464575-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","Deciding if an Inequality is True","","Worksheets and an answer key for determining whether given inequalities are true or false using specific values of n. Each item substitutes n into an inequality expression involving multiplication, division, addition, subtraction, and comparison operators (>, \u003C, ≥, ≤). The materials present multiple inequalities across a numbered set and provide a final true/false answer list corresponding to each problem for quick checking and practice reinforcement.",{"@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/464575/",{"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/464575.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine if an inequality is true or false?","Question",{"text":112,"@type":113},"Substitute the given value of n into the inequality expression and evaluate the comparison using the stated operators (>, \u003C, ≥, ≤).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of inequality expressions are included?",{"text":117,"@type":113},"The problems use expressions with multiplication and division (e.g., 9 × n, n ÷ 3) plus addition or subtraction, followed by a comparison to a number.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can answers be found for each numbered problem?",{"text":121,"@type":113},"An answer key section lists whether each item is True or False for its corresponding value of n.","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},464575,1790768360,{"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":19,"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":129,"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 = 35 | 2) n = 41 | 3) | n = 30 |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>7) | 9 × n \u003C 315\u003Cbr>n = 21\u003Cbr>n − 17 ≤ 1\u003Cbr>n = 12\u003Cbr>n ÷ 4 > 4 | n + 30 ≥ 70\u003Cbr>5) n = 62\u003Cbr>n − 43 ≥ 16\u003Cbr>8) n = 39\u003Cbr>n + 15 ≤ 56 | 6)\u003Cbr>9) | n ÷ 3 > 8\u003Cbr>n = 68\u003Cbr>4 × n \u003C 271\u003Cbr>n = 31\u003Cbr>n + 92 \u003C 125 |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| 10) | n = 46 | 11) n = 24 | 12) | n = 36 |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 13)\u003Cbr>16) | n − 13 > 35\u003Cbr>n = 16\u003Cbr>n + 51 ≥ 65\u003Cbr>n = 90 | n ÷ 8 ≤ 2\u003Cbr>14) n = 76\u003Cbr>n − 56 \u003C 20 | 15) | 6 × n ≥ 213\u003Cbr>n = 91\u003Cbr>n ÷ 7 ≤ 12 |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |\n|  | 7 × n > 629 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 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 = 35 2) n = 41 3) n = 30\u003Cbr>9 × n \u003C 315 n + 30 ≥ 70 n ÷ 3 > 8\u003Cbr>4) n = 21 5) n = 62 6) n = 68\u003Cbr>n − 17 ≤ 1 n − 43 ≥ 16 4 × n \u003C 271\u003Cbr>7) n = 12 8) n = 39 9) n = 31\u003Cbr>n ÷ 4 > 4 n + 15 ≤ 56 n + 92 \u003C 125\u003Cbr>10) n = 46 11) n = 24 12) n = 36\u003Cbr>n − 13 > 35 n ÷ 8 ≤ 2 6 × n ≥ 213\u003Cbr>13) n = 16 14) n = 76 15) n = 91 n + 51 ≥ 65 n − 56 \u003C 20 n ÷ 7 ≤ 12\u003Cbr>16) n = 90\u003Cbr>7 × n > 629 | Answers\u003Cbr>1.  False \u003Cbr>2.  True \u003Cbr>3.  True \u003Cbr>4.  False \u003Cbr>5.  True \u003Cbr>6.  False \u003Cbr>7.  False \u003Cbr>8.  True \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)  \n1  \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 = 35\u003Cbr>9 × n \u003C 315 |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | n = 41\u003Cbr>n + 30 ≥ 70 |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | n = 30\u003Cbr>n ÷ 3 > 8 |  |  |  |  |  |  |  | 4.   |  |  |  |  |  |\n| 4) | n = 21\u003Cbr>n − 17 ≤ 1 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 5) | n = 62\u003Cbr>n − 43 ≥ 16 |  |  |  |  |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |\n| 6) | n = 68\u003Cbr>4 × n \u003C 271 |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 7) | n = 12\u003Cbr>n ÷ 4 > 4 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |\n| 8) | n = 39\u003Cbr>n + 15 ≤ 56 |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 9) | n = 31\u003Cbr>n + 92 \u003C 125 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | n = 46\u003Cbr>n − 13 > 35 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | n = 24\u003Cbr>n ÷ 8 ≤ 2 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | n = 36\u003Cbr>6 × n ≥ 213 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |","cbCaiklfBe8K5fS2","https://ap.wps.com/l/cbCaiklfBe8K5fS2","pdf",43241,"English","# Determine Whether Inequalities Are True\n## Substitute values of n into inequalities\n## Evaluate using comparison operators\n## Check answers with the answer key","[{\"question\":\"How do you determine if an inequality is true or false?\",\"answer\":\"Substitute the given value of n into the inequality expression and evaluate the comparison using the stated operators (\\u003e, \\u003c, ≥, ≤).\"},{\"question\":\"What types of inequality expressions are included?\",\"answer\":\"The problems use expressions with multiplication and division (e.g., 9 × n, n ÷ 3) plus addition or subtraction, followed by a comparison to a number.\"},{\"question\":\"Where can answers be found for each numbered problem?\",\"answer\":\"An answer key section lists whether each item is True or False for its corresponding value of n.\"}]","Deciding if an Inequality is True | PDF"]