[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464478-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464478-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","writing-an-inequality-from-a-word-problem","Writing an Inequality from a Word Problem","","Writing an inequality from real-life word scenarios focuses on selecting the correct inequality symbol for each given constraint. The problems define variables for quantities such as weight, exam points, cans collected, campers in a cabin, people on a rental boat, stickers on a sheet, plant height, running distance, eligible age for a chess league, and shelf height. Each item asks students to match the relationship to one of four inequality choices.",{"@graph":14,"@context":72},[15,34,55],{"@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-an-inequality-from-a-word-problem/464478/",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-an-inequality-from-a-word-problem/464478.png","ImageObject",300,407,{"name":42,"@type":43},"Olivia Brown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the task in each problem?","Question",{"text":62,"@type":63},"Each item asks you to determine which inequality matches the relationship described in the word problem. You choose from four inequality options.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are variables used in the problems?",{"text":67,"@type":63},"Each scenario introduces a variable to represent an unknown quantity, such as w for boat weight or s for exam points. The correct inequality is written using that variable and a threshold value.",{"name":69,"@type":60,"acceptedAnswer":70},"What types of relationships appear in the word problems?",{"text":71,"@type":63},"The scenarios express constraints like “no more than,” “at least,” or “more than,” which correspond to ≤, ≥, or > inequalities. Some problems also compare a current amount to a previous amount.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},464478,1790768246,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":30,"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":79,"read_time":110},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 small boat can carry no more than 25 pounds. If w represents the weight the small boat can carry, which inequality shows the relationship?\u003Cbr>A. w > 25 B. w ≥ 25 C. w \u003C 25 D. w ≤ 25 |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | To pass the exam, a student must earn at least 91 points. If s represents the number of points needed to pass, which inequality shows the relationship?\u003Cbr>A. s > 91 B. s ≥ 91 C. s \u003C 91 D. s ≤ 91 |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | To earn the class prize, the students must collect at least 41 cans. If b represents the number of cans that must be collected, which inequality shows the relationship?\u003Cbr>A. b > 41 B. b ≥ 41 C. b \u003C 41 D. b ≤ 41 |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | Each cabin at the camp can hold no more than 38 campers. If c represents the number of campers a cabin can hold, which inequality shows the relationship?\u003Cbr>A. c > 38 B. c ≥ 38 C. c \u003C 38 D. c ≤ 38 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | The rental boat can hold no more than 65 people. If p represents the number of people the boat can hold, which inequality shows the relationship?\u003Cbr>A. p > 65 B. p ≥ 65 C. p \u003C 65 D. p ≤ 65 |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | The sticker sheet can hold no more than 85 stickers. If s represents the number of stickers on the sheet, which inequality shows the relationship?\u003Cbr>A. s > 85 B. s ≥ 85 C. s \u003C 85 D. s ≤ 85 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | To win the garden contest, a plant must be at least 87 inches tall. If h represents the height of a plant that gets a prize, which inequality shows the relationship?\u003Cbr>A. h > 87 B. h ≥ 87 C. h \u003C 87 D. h ≤ 87 |  |  |  |  |  |  |  |  |  |  |\n| 8) | Luke ran more miles this week than last week. He ran 60 miles last week. If d represents the number of miles run this week, which inequality shows the relationship?\u003Cbr>A. d > 60 B. d ≥ 60 C. d \u003C 60 D. d ≤ 60 |  |  |  |  |  |  |  |  |  |  |\n| 9) | To enter the chess league, a player must be at least 66 years old. If a represents the age of a player who may enter the league, which inequality shows the relationship?\u003Cbr>A. a > 66 B. a ≥ 66 C. a \u003C 66 D. a ≤ 66 |  |  |  |  |  |  |  |  |  |  |\n| 10) | A shelf can be no more than 68 inches tall to fit the wall. If h represents the height of a shelf that fits the wall, which inequality shows the relationship?\u003Cbr>A. h > 68 B. h ≥ 68 C. h \u003C 68 D. h ≤ 68 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nWriting an Inequality from a Word Problem  \nName: Answer Key  \n\n| Determine which inequality shows each relationship.\u003Cbr>1) The small boat can carry no more than 25 pounds. If w represents the weight the small boat can carry, which inequality shows the relationship? |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.  D  |  |  |  |  |\n| 2) | A. w > 25 B. w ≥ 25 C. w \u003C 25 D. w ≤ 25\u003Cbr>To pass the exam, a student must earn at least 91 points. If s represents the number of points needed to pass, which inequality shows the relationship? |  |  |  |  |  |  | 2.\u003Cbr>3. |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  | B |  |  |\n| 3) | A. s > 91 B. s ≥ 91 C. s \u003C 91 D. s ≤ 91\u003Cbr>To earn the class prize, the students must collect at least 41 cans. If b represents the number of cans that must be collected, which inequality shows the relationship? |  |  |  |  |  |  | 4.\u003Cbr>5. |  | D |  |  |\n|  |  |  |  |  |  |  |  |  |  | D |  |  |\n| 4) | A. b > 41 B. b ≥ 41 C. b \u003C 41 D. b ≤ 41\u003Cbr>Each cabin at the camp can hold no more than 38 campers. If c represents the number of campers a cabin can hold, whic","cbCaikgwglQyI5p3","https://ap.wps.com/l/cbCaikgwglQyI5p3","pdf",61916,"English","# Determine the correct inequality\n## Word problems and inequality choices","[{\"question\":\"What is the task in each problem?\",\"answer\":\"Each item asks you to determine which inequality matches the relationship described in the word problem. You choose from four inequality options.\"},{\"question\":\"How are variables used in the problems?\",\"answer\":\"Each scenario introduces a variable to represent an unknown quantity, such as w for boat weight or s for exam points. The correct inequality is written using that variable and a threshold value.\"},{\"question\":\"What types of relationships appear in the word problems?\",\"answer\":\"The scenarios express constraints like “no more than,” “at least,” or “more than,” which correspond to ≤, ≥, or \\u003e inequalities. Some problems also compare a current amount to a previous amount.\"}]","Writing an Inequality from a Word Problem | PDF"]