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Each item defines a variable for a quantity—such as backpack weight, number of players, bicycles on a ferry, book weight, library lending time, jar marbles, and bonus books—and then asks whether a given value satisfies the rule. An accompanying answer key provides the correct inequality expressions and yes/no judgments for each scenario.",{"@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/writing-and-testing-an-inequality/464643/",{"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/writing-and-testing-an-inequality/464643.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 write an inequality from each situation?","Question",{"text":112,"@type":113},"Identify the maximum or minimum allowed amount, assign a variable to the quantity, and use the correct inequality symbol (\u003C, ≤, >, ≥) to represent the rule.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean when the problem asks if a value is safe or allowed?",{"text":117,"@type":113},"It asks whether that specific number satisfies the inequality condition. If it does, the answer is yes; otherwise, it is no.",{"name":119,"@type":110,"acceptedAnswer":120},"Are the answer key results just the inequality or also the yes/no check?",{"text":121,"@type":113},"The answer key includes both the inequality form (like j ≤ 56) and the final yes/no judgment for the tested 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},464643,1790768466,{"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","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","cbCaipQoJ4wLXCRl","https://ap.wps.com/l/cbCaipQoJ4wLXCRl","pdf",42702,"English","# Write and Test Inequalities\n## Backpack weight limits\n## Team player requirement\n## Ferry bicycle capacity\n## Book weight and comfort\n## Library keeping time\n## Backpack safety with different weight\n## Marble jar limit\n## Library borrowing bonus","[{\"question\":\"How do you write an inequality from each situation?\",\"answer\":\"Identify the maximum or minimum allowed amount, assign a variable to the quantity, and use the correct inequality symbol (\\u003c, ≤, \\u003e, ≥) to represent the rule.\"},{\"question\":\"What does it mean when the problem asks if a value is safe or allowed?\",\"answer\":\"It asks whether that specific number satisfies the inequality condition. If it does, the answer is yes; otherwise, it is no.\"},{\"question\":\"Are the answer key results just the inequality or also the yes/no check?\",\"answer\":\"The answer key includes both the inequality form (like j ≤ 56) and the final yes/no judgment for the tested value.\"}]","Writing and Testing an Inequality | PDF"]