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Problems define variables for heights, ages, points, and quantities, then specify minimum or maximum limits using phrases such as at least, at least as tall, no more than, and fewer than. Learners choose from four inequality options (>, ≥, \u003C, ≤) for each case. An answer key is provided to check selections for the full set of items.",{"@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-an-inequality-from-a-word-problem-practice-problems/464474/",{"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-an-inequality-from-a-word-problem-practice-problems/464474.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you choose the correct inequality symbol from the word problem?","Question",{"text":112,"@type":113},"Identify whether the situation says “at least” (use ≥), “more than” (use >), “no more than” (use ≤), or “less than” (use \u003C). Then match the variable to the quantity mentioned.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does the variable represent in these problems (like h, p, or a)?",{"text":117,"@type":113},"Each problem defines a specific variable for the quantity being compared. For example, h represents a height, p represents points, and a represents an age.",{"name":119,"@type":110,"acceptedAnswer":120},"Why do some answers use ≥ or ≤ instead of just > or \u003C?",{"text":121,"@type":113},"Because the wording includes equality conditions such as “at least” or “no more than.” Those phrases allow the boundary value, so the inequality includes =.","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},464474,1790768241,{"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":14,"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 an Inequality from a Word Problem  \nName:  \n\n| Determine which inequality shows each relationship.\u003Cbr>1) A seedling can be moved outside once it is at least 80 inches tall. If h represents the height of a plant that will be moved outside, which inequality shows the relationship?\u003Cbr>A. h > 80 B. h ≥ 80 C. h \u003C 80 D. h ≤ 80 |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | To be ready to sell, a plant must be at least 49 inches tall. If h represents the height of a plant that is ready to be sold, which inequality shows the relationship?\u003Cbr>A. h > 49 B. h ≥ 49 C. h \u003C 49 D. h ≤ 49 |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | To use the high diving board, a diver must be at least 66 inches tall. If h represents the height of a diver allowed off the high board, which inequality shows the relationship?\u003Cbr>A. h > 66 B. h ≥ 66 C. h \u003C 66 D. h ≤ 66 |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | To use the trampoline park, a jumper must be no more than 18 inches tall. If h represents the height of a person allowed on the trampoline, which inequality shows the relationship?\u003Cbr>A. h > 18 B. h ≥ 18 C. h \u003C 18 D. h ≤ 18 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | Emily's team scored more points this game than last game. The team scored 82 points last game. If p represents the number of points scored this game, which inequality shows the relationship? |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | A. p > 82 B. p ≥ 82 C. p \u003C 82 D. p ≤ 82\u003Cbr>To join the chess club, a member must be at least 28 years old. If a represents the age of a member who may join the club, which inequality shows the relationship?\u003Cbr>A. a > 28 B. a ≥ 28 C. a \u003C 28 D. a ≤ 28 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | To advance to the next level of the game, a player must earn at least 23 points. If p represents the number of points needed to advance, which inequality shows the relationship? |  |  |  |  |  |  |  |  |  |  |\n| 8) | A. p > 23 B. p ≥ 23 C. p \u003C 23 D. p ≤ 23 The smaller tank has fewer fish than the larger tank. The larger tank has 95 fish. If f represents the number of fish in the smaller tank, which inequality shows the relationship?\u003Cbr>A. f > 95 B. f ≥ 95 C. f \u003C 95 D. f ≤ 95 |  |  |  |  |  |  |  |  |  |  |\n| 9) | To volunteer at the animal shelter, a person must be at least 62 years old. If a represents the age needed to volunteer, which inequality shows the relationship?\u003Cbr>A. a > 62 B. a ≥ 62 C. a \u003C 62 D. a ≤ 62 |  |  |  |  |  |  |  |  |  |  |\n| 10) | To enter the contest, a person must be at least 12 years old. If a represents the age of a person who may enter the contest, which inequality shows the relationship?\u003Cbr>A. a > 12 B. a ≥ 12 C. a \u003C 12 D. a ≤ 12 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nWriting an Inequality from a Word Problem  \nName: Answer Key  \n\n| Determine which inequality shows each relationship.\u003Cbr>1) A seedling can be moved outside once it is at least 80 inches tall. If h represents the height of a plant that will be moved outside, which inequality shows the relationship? |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.  B  |  |  |  |  |\n| 2) | A. h > 80 B. h ≥ 80 C. h \u003C 80 D. h ≤ 80\u003Cbr>To be ready to sell, a plant must be at least 49 inches tall. If h represents the height of a plant that is ready to be sold, which inequality shows the relationship? |  |  |  |  |  |  | 2.\u003Cbr>3. |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  | B |  |  |\n| 3) | A. h > 49 B. h ≥ 49 C. h \u003C 49 D. h ≤ 49\u003Cbr>To use the high diving board, a diver must be at least 66 inches tall. If h represents the height of a diver allowed off the h","cbCaibJUMmQYjFFH","https://ap.wps.com/l/cbCaibJUMmQYjFFH","pdf",62062,"English","# Determine the correct inequality for each scenario\n## Heights, limits, and thresholds\n## Ages, points, and quantities","[{\"question\":\"How do you choose the correct inequality symbol from the word problem?\",\"answer\":\"Identify whether the situation says “at least” (use ≥), “more than” (use \\u003e), “no more than” (use ≤), or “less than” (use \\u003c). Then match the variable to the quantity mentioned.\"},{\"question\":\"What does the variable represent in these problems (like h, p, or a)?\",\"answer\":\"Each problem defines a specific variable for the quantity being compared. For example, h represents a height, p represents points, and a represents an age.\"},{\"question\":\"Why do some answers use ≥ or ≤ instead of just \\u003e or \\u003c?\",\"answer\":\"Because the wording includes equality conditions such as “at least” or “no more than.” Those phrases allow the boundary value, so the inequality includes =.\"}]","Writing an Inequality from a Word Problem - Practice Problems | PDF"]