[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464477-105":59,"doc-detail-464477-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","writing-an-inequality-from-a-word-problem-answer-key","Writing an Inequality from a Word Problem - Answer Key","","Works through 10 word problems that compare quantities using variables. Each scenario states a relationship such as fewer, at least, no more than, or more, then asks which inequality matches the comparison. Given fixed values (e.g., 49 cookies, 73 inches, 61 pounds, 70 minutes, 22 years, 74 tickets, 77 buttons, 39 tickets, 12 years), the document selects the correct inequality options for variables c, h, t, w, m, a, b, and c again. Includes an answer key with the chosen choices for problems 1–10.",{"@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-answer-key/464477/",{"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-answer-key/464477.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether to use \u003C, ≤, >, or ≥ in these problems?","Question",{"text":112,"@type":113},"Read whether the statement says fewer/less than, no more than, at least, or more than. “Fewer” corresponds to “\u003C” or “≤” depending on whether equality is allowed; “at least” and “no more than” similarly map to ≥ and ≤.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does the variable represent in each problem?",{"text":117,"@type":113},"Each problem defines a variable (such as c, h, t, w, m, a, or b) as the unknown quantity described in the scenario, and the inequality must express the relationship between that unknown and the given number.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct choices for each question be found?",{"text":121,"@type":113},"The document includes an “Answer Key” section listing the selected option letter (A, B, C, or D) for each problem from 1 to 10.","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},464477,1790884234,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":143,"read_time":144},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) The bakery made fewer cookies today than it made yesterday. The bakery made 49 cookies yesterday. If c represents the number of cookies baked today, which inequality shows the relationship?\u003Cbr>A. c > 49 B. c ≥ 49 C. c \u003C 49 D. c ≤ 49\u003Cbr>2) A gardener keeps every plant that is at least 73 inches tall. If h represents the height of a plant that will be kept, which inequality shows the relationship?\u003Cbr>A. h > 73 B. h ≥ 73 C. h \u003C 73 D. h ≤ 73\u003Cbr>3) The theater sold more tickets today than yesterday. It sold 13 tickets yesterday. If t represents the number of tickets sold today, which inequality shows the relationship?\u003Cbr>A. t > 13 B. t ≥ 13 C. t \u003C 13 D. t ≤ 13\u003Cbr>4) The old wooden bridge can carry no more than 61 pounds. If w represents the weight the bridge can carry, which inequality shows the relationship?\u003Cbr>A. w > 61 B. w ≥ 61 C. w \u003C 61 D. w ≤ 61\u003Cbr>5) Tiffany practiced fewer minutes on the piano than her friend did. Her friend practiced 70 minutes. If m represents the number of minutes Tiffany practiced, which inequality shows the relationship between the minutes Tiffany and her friend practiced?\u003Cbr>A. m > 70 B. m ≥ 70 C. m \u003C 70 D. m ≤ 70\u003Cbr>6) To enter the baking contest, a person must be at least 22 years old. If a represents the age needed to enter the contest, which inequality shows the relationship?\u003Cbr>A. a > 22 B. a ≥ 22 C. a \u003C 22 D. a ≤ 22\u003Cbr>7) To hold the school play, the drama club must sell at least 74 tickets. If b represents the number of tickets that must be sold, which inequality shows the relationship?\u003Cbr>A. b > 74 B. b ≥ 74 C. b \u003C 74 D. b ≤ 74\u003Cbr>8) Amy pressed fewer buttons on the game than her brother did. Her brother pressed 77 buttons. If b represents the number of buttons Amy pressed, which inequality shows the relationship between the buttons Amy and her brother pressed?\u003Cbr>A. b > 77 B. b ≥ 77 C. b \u003C 77 D. b ≤ 77\u003Cbr>9) There were fewer tickets sold today than there were yesterday. There were 39 tickets sold yesterday. If c represents the number of tickets sold today, which inequality shows the relationship?\u003Cbr>A. c > 39 B. c ≥ 39 C. c \u003C 39 D. c ≤ 39\u003Cbr>10) To join the swim team, a swimmer must be at least 12 years old. If a represents the age of a swimmer who may join the team, which inequality shows the relationship?\u003Cbr>A. a > 12 B. a ≥ 12 C. a \u003C 12 D. a ≤ 12 |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |\n| 1-10 | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nWriting an Inequality from a Word Problem  \nName: Answer Key  \n\n| Determine which inequality shows each relationship.\u003Cbr>1) The bakery made fewer cookies today than it made yesterday. The bakery made 49 cookies yesterday. If c represents the number of cookies baked today, which inequality shows the relationship?\u003Cbr>A. c > 49 B. c ≥ 49 C. c \u003C 49 D. c ≤ 49\u003Cbr>2) A gardener keeps every plant that is at least 73 inches tall. If h represents the height of a plant that will be kept, which inequality shows the relationship?\u003Cbr>A. h > 73 B. h ≥ 73 C. h \u003C 73 D. h ≤ 73\u003Cbr>3) The theater sold more tickets today than yesterday. It sold 13 tickets yesterday. If t represents the number of tickets sold today, which inequality shows the relationship?\u003Cbr>A. t > 13 B. t ≥ 13 C. t \u003C 13 D. t ≤ 13\u003Cbr>4) The old wooden bridge can carry no more than 61 pounds. If w represents the weight the bridge can carry, which inequality shows the relationship?\u003Cbr>A. w > 61 B. w ≥ 61 C. w \u003C 61 D. w ≤ 61\u003Cbr>5) Tiffany practiced fewer minutes on the piano than her friend did. Her friend practiced 70 minutes. If m represents the number of minutes Tiffany practiced, ","cbCaivgyWmO6b6b8","https://ap.wps.com/l/cbCaivgyWmO6b6b8","pdf",629357,"English","# Determine the correct inequality\n## Bakery cookies vs yesterday (c)\n## Plant height requirement (h)\n## Theater tickets comparison (t)\n## Bridge weight limit (w)\n## Piano practice time (m)\n## Baking contest age minimum (a)\n## School play ticket sales minimum (b)\n## Game buttons comparison (b)\n## Tickets sold today vs yesterday (c)\n## Swim team joining age minimum (a)","[{\"question\":\"How do you decide whether to use \\u003c, ≤, \\u003e, or ≥ in these problems?\",\"answer\":\"Read whether the statement says fewer/less than, no more than, at least, or more than. “Fewer” corresponds to “\\u003c” or “≤” depending on whether equality is allowed; “at least” and “no more than” similarly map to ≥ and ≤.\"},{\"question\":\"What does the variable represent in each problem?\",\"answer\":\"Each problem defines a variable (such as c, h, t, w, m, a, or b) as the unknown quantity described in the scenario, and the inequality must express the relationship between that unknown and the given number.\"},{\"question\":\"Where can the correct choices for each question be found?\",\"answer\":\"The document includes an “Answer Key” section listing the selected option letter (A, B, C, or D) for each problem from 1 to 10.\"}]","Writing an Inequality from a Word Problem - Answer Key | PDF",1790768246,76]