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An answer key provides the correct inequality comparisons and yes/no results for each question.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/writing-and-testing-an-inequality-write-and-test-inequalities/464649/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/writing-and-testing-an-inequality-write-and-test-inequalities/464649.png","ImageObject",300,407,{"name":42,"@type":43},"Olivia Brown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-14","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does each problem require you to do?","Question",{"text":63,"@type":64},"For each situation, write an inequality using the given variable, then decide whether the provided number makes the statement true or false.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you know if a specific number satisfies the inequality?",{"text":68,"@type":64},"Compare the number to the inequality’s boundary using the correct relation sign (such as ≤, \u003C, or >) and determine whether it meets the rule.",{"name":70,"@type":61,"acceptedAnswer":71},"What kinds of situations are included in the worksheet?",{"text":72,"@type":64},"The worksheet includes capacity and safety limits for backpacks and a ferry, a minimum number of players to start a game, and rules for books and days in a library or bonus eligibility.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},464649,1790831580,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":112,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Writing and Testing an Inequality  \nName:  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A backpack should carry no more than 56 pounds. Let j be the weight in the backpack in pounds.\u003Cbr>Inequality: j  \u003Cbr>Is the backpack safe with 56 pounds in it? |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A team needs more than 24 players to start the game. Let n be the number of players.\u003Cbr>Inequality: n  \u003Cbr>Can the team start with 18 players? |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A ferry is only allowed to carry fewer than 20 bicycles. Let k be the number of bicycles.\u003Cbr>Inequality: k  \u003Cbr>Can the ferry carry 22 bicycles? |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A backpack is designed to hold no more than 19 pounds of books. Let b be the weight of the books in pounds.\u003Cbr>Inequality: b  \u003Cbr>Is the backpack comfortable with 20 pounds of books? |  | 8.   |  |  |  |  |  |  |  |\n| 5) A library allows books to be kept for more than 35 days only. Let t be the number of days a book is kept.\u003Cbr>Inequality: t  \u003Cbr>Does keeping a book 35 days meet the rule? |  |  |  |  |  |  |  |  |  |\n| 6) A backpack should carry no more than 22 pounds. Let b be the weight in the backpack in pounds.\u003Cbr>Inequality: b  \u003Cbr>Is the backpack safe with 19 pounds inside? |  |  |  |  |  |  |  |  |  |\n| 7) Ajar can hold no more than 32 marbles. Let j be the number of marbles in the jar.\u003Cbr>Inequality: j  \u003Cbr>Can the jar hold 32 marbles? |  |  |  |  |  |  |  |  |  |\n| 8) A library gives a bonus only to patrons who borrow more than 56 books. Let n be the number of books borrowed.\u003Cbr>Inequality: n  \u003Cbr>Does borrowing 53 books earn the bonus? |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nWriting and Testing an Inequality  \nName: Answer Key  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A backpack should carry no more than 56 pounds. Let j be the weight in the backpack in pounds.\u003Cbr>Inequality: j  \u003Cbr>Is the backpack safe with 56 pounds in it? |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>j ≤ 56, yes |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | n > 24, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) A team needs more than 24 players to start the game. Let n be the number of players.\u003Cbr>Inequality: n  \u003Cbr>Can the team start with 18 players? |  | 3.\u003Cbr>4. |  |  | k \u003C 20, no |  |  |  |  |  |\n|  |  |  |  |  | b ≤ 19, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) A ferry is only allowed to carry fewer than 20 bicycles. Let k be the number of bicycles.\u003Cbr>Inequality: k  \u003Cbr>Can the ferry carry 22 bicycles? |  | 5.\u003Cbr>6.\u003Cbr>7. |  |  | t > 35, no |  |  |  |  |  |\n|  |  |  |  |  | b ≤ 22, yes |  |  |  |  |  |\n|  |  |  |  |  | j ≤ 32, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A backpack is designed to hold no more than 19 pounds of books. Let b be the weight of the books in pounds.\u003Cbr>Inequality: b  \u003Cbr>Is the backpack comfortable with 20 pounds of books? |  | 8. |  |  | n > 56, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A library allows books to be kept for more than 35 days only. Let t be the number of days a book is kept.\u003Cbr>Inequality: t  \u003Cbr>Does keeping a book 35 days meet the rule? |  |  |  |  |  |  |  |  |  |  |\n| 6) A backpack should carry no more than 22 pounds. Let b be the weight in the backpack in pounds.\u003Cbr>Inequality: b  \u003Cbr>Is the backpack safe with 19 pounds inside? |  |  |  |  |  |  |  |  |  |  |\n| 7) Ajar can hold no more than 32 marbles. Let j be the number of marbles in the jar.\u003Cbr>Inequality: j  \u003Cbr>Can the jar hold 32 marbles? |  |  |  |  |  |  |  |  |  |  |\n| 8) A library gives a bonus only to patrons who borrow more than 56 books. Let n","cbCaisMYNEJv3dye","https://ap.wps.com/l/cbCaisMYNEJv3dye","pdf",436174,"English","# Writing and Testing an Inequality\n## Backpack capacity and safety\n## Team players required\n## Ferry bicycle limit\n## Books weight limits\n## Library borrowing and holding rules","[{\"question\":\"What does each problem require you to do?\",\"answer\":\"For each situation, write an inequality using the given variable, then decide whether the provided number makes the statement true or false.\"},{\"question\":\"How do you know if a specific number satisfies the inequality?\",\"answer\":\"Compare the number to the inequality’s boundary using the correct relation sign (such as ≤, \\u003c, or \\u003e) and determine whether it meets the rule.\"},{\"question\":\"What kinds of situations are included in the worksheet?\",\"answer\":\"The worksheet includes capacity and safety limits for backpacks and a ferry, a minimum number of players to start a game, and rules for books and days in a library or bonus eligibility.\"}]","Writing and Testing an Inequality - Write and Test Inequalities | PDF",1790768476,76]