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The solutions state the required inequalities and the yes/no decisions for the test values.",{"@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-answer-key/464651/",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-answer-key/464651.png","ImageObject",300,407,{"name":42,"@type":43},"Olivia Brown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to do for each situation?","Question",{"text":63,"@type":64},"Write an inequality that represents the condition in each scenario, then decide whether the given value satisfies the inequality.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How is each inequality set up in these problems?",{"text":68,"@type":64},"Each problem defines a variable for the relevant quantity (like z, k, x, d, e, or p) and then uses the scenario’s limits (more than/at least/no more than/fewer than) to choose the inequality sign.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the answer key only provide inequalities or also final answers?",{"text":72,"@type":64},"It provides both the inequalities and the final yes/no answers for whether the specified value meets the challenge, requirement, or limit.","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},464651,1790768478,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"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":55,"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":30,"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":80,"read_time":110},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 hiking club counts a trip as a challenge only when it covers more than 27\u003Cbr>miles. Let z be the miles hiked. Inequality: z ________\u003Cbr>Is a hike of 25 miles a challenge? |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A savings plan requires at least 21 dollars to open. Let k be the dollars deposited.\u003Cbr>Inequality: k  \u003Cbr>Can the plan be opened with 21 dollars? |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A pizza oven can only bake fewer than 13 pies an hour. Let z be the number of pies baked.\u003Cbr>Inequality: z  \u003Cbr>Can it bake 14 pies in an hour? |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A movie theater row can seat no more than 46 people. Let x be the number of people in the row.\u003Cbr>Inequality: x  \u003Cbr>Can the row seat 48 people? |  | 8.   |  |  |  |  |  |  |  |\n| 5) A quiz needs more than 39 correct answers to pass. Let z be the number of correct answers.\u003Cbr>Inequality: z  \u003Cbr>Does getting 39 correct answers pass? |  |  |  |  |  |  |  |  |  |\n| 6) A carton can pack no more than 40 eggs. Let e be the number of eggs in the carton.\u003Cbr>Inequality: e  \u003Cbr>Can the carton pack 37 eggs? |  |  |  |  |  |  |  |  |  |\n| 7) A charity walk asks each walker to raise at least 40 dollars. Let d be the dollars raised.\u003Cbr>Inequality: d  \u003Cbr>Does raising 40 dollars meet the goal? |  |  |  |  |  |  |  |  |  |\n| 8) An elevator is only allowed to carry fewer than 54 people at once. Let p be the number of people in the elevator.\u003Cbr>Inequality: p  \u003Cbr>Is it allowed to carry 46 people? |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nWriting and Testing an Inequality  \nName: Answer Key  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A hiking club counts a trip as a challenge only when it covers more than 27\u003Cbr>miles. Let z be the miles hiked. Inequality: z ________\u003Cbr>Is a hike of 25 miles a challenge? |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>z > 27, no |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | k ≥ 21, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) A savings plan requires at least 21 dollars to open. Let k be the dollars deposited.\u003Cbr>Inequality: k  \u003Cbr>Can the plan be opened with 21 dollars? |  | 3.\u003Cbr>4. |  |  | z \u003C 13, no |  |  |  |  |  |\n|  |  |  |  |  | x ≤ 46, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) A pizza oven can only bake fewer than 13 pies an hour. Let z be the number of pies baked.\u003Cbr>Inequality: z  \u003Cbr>Can it bake 14 pies in an hour? |  | 5.\u003Cbr>6.\u003Cbr>7. |  |  | z > 39, no |  |  |  |  |  |\n|  |  |  |  |  | e ≤ 40, yes |  |  |  |  |  |\n|  |  |  |  |  | d ≥ 40, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A movie theater row can seat no more than 46 people. Let x be the number of people in the row.\u003Cbr>Inequality: x  \u003Cbr>Can the row seat 48 people? |  | 8. |  |  | p \u003C 54, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A quiz needs more than 39 correct answers to pass. Let z be the number of correct answers.\u003Cbr>Inequality: z  \u003Cbr>Does getting 39 correct answers pass? |  |  |  |  |  |  |  |  |  |  |\n| 6) A carton can pack no more than 40 eggs. Let e be the number of eggs in the carton.\u003Cbr>Inequality: e  \u003Cbr>Can the carton pack 37 eggs? |  |  |  |  |  |  |  |  |  |  |\n| 7) A charity walk asks each walker to raise at least 40 dollars. Let d be the dollars raised.\u003Cbr>Inequality: d  \u003Cbr>Does raising 40 dollars meet the goal? |  |  |  |  |  |  |  |  |  |  |\n| 8) An elevator is only allowed to carry fewer than 54 people at once. Let p be the number of people in the elevator.\u003Cbr>Inequality: p  \u003Cbr>Is it allowed to carry 46 people? |  |  |","cbCaiscKV9ai7E09","https://ap.wps.com/l/cbCaiscKV9ai7E09","pdf",42895,"English","# Word Problems\n## Writing inequalities and evaluating answers","[{\"question\":\"What does the worksheet ask students to do for each situation?\",\"answer\":\"Write an inequality that represents the condition in each scenario, then decide whether the given value satisfies the inequality.\"},{\"question\":\"How is each inequality set up in these problems?\",\"answer\":\"Each problem defines a variable for the relevant quantity (like z, k, x, d, e, or p) and then uses the scenario’s limits (more than/at least/no more than/fewer than) to choose the inequality sign.\"},{\"question\":\"Does the answer key only provide inequalities or also final answers?\",\"answer\":\"It provides both the inequalities and the final yes/no answers for whether the specified value meets the challenge, requirement, or limit.\"}]","Writing and Testing an Inequality - Answer Key | PDF"]