[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464476-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464476-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","","Worksheets that practice translating real-life statements into algebraic inequalities. Each problem defines a variable (such as b, h, c, p, w, or d) and compares two quantities using terms like “at least,” “no more than,” “more than,” and “fewer than.” Students determine which inequality matches the relationship. The document also includes an answer key that identifies the correct inequality choice for items 1 through 10.",{"@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/464476/",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/464476.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":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What do students do in each problem?","Question",{"text":62,"@type":63},"Students choose the inequality that matches the relationship described in the word problem, using the given variable and the correct inequality symbol.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are “at least” and “no more than” typically represented?",{"text":67,"@type":63},"“At least” corresponds to a greater-than-or-equal-to inequality (≥), while “no more than” corresponds to a less-than-or-equal-to inequality (≤).",{"name":69,"@type":60,"acceptedAnswer":70},"Does the document include answers?",{"text":71,"@type":63},"Yes. An “Answer Key” section lists the correct choice for each numbered problem from 1 to 10.","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},464476,1790768245,{"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":33,"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) To hold the school play, the drama club must sell at least 41 tickets. If b represents the number of tickets that must be sold, which inequality shows the relationship?\u003Cbr>A. b > 41 B. b ≥ 41 C. b \u003C 41 D. b ≤ 41 |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | A gardener keeps every plant that is at least 77 inches tall. If h represents the height of a plant that will be kept, which inequality shows the relationship?\u003Cbr>A. h > 77 B. h ≥ 77 C. h \u003C 77 D. h ≤ 77 |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | There were fewer cars in the parking lot today than there were yesterday. There were 48 cars in the lot yesterday. If c represents the number of cars in the lot today, which inequality shows the relationship? |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | A. c > 48 B. c ≥ 48 C. c \u003C 48 D. c ≤ 48\u003Cbr>During the game, a team can have no more than 46 players on the field. If p represents the number of players allowed on the field, which inequality shows the relationship?\u003Cbr>A. p > 46 B. p ≥ 46 C. p \u003C 46 D. p ≤ 46 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | Kaleb picked more berries than his sister did. His sister picked 74 berries. If b represents the number of berries Kaleb picked, which inequality shows the relationship between the berries Kaleb and his sister picked? |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | A. b > 74 B. b ≥ 74 C. b \u003C 74 D. b ≤ 74\u003Cbr>The club collected more cans this week than last week. It collected 26 cans last week. If c represents the number of cans collected this week, which inequality shows the relationship?\u003Cbr>A. c > 26 B. c ≥ 26 C. c \u003C 26 D. c ≤ 26 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | Olivia's theater sold more tickets on Saturday than on Friday. The theater sold 33 ticketson Friday. If b represents the number of tickets sold on Saturday, which inequality shows the relationship?\u003Cbr>A. b > 33 B. b ≥ 33 C. b \u003C 33 D. b ≤ 33 |  |  |  |  |  |  |  |  |  |  |\n| 8) | Billy biked more miles today than yesterday. He biked 33 miles yesterday. If d represents the number of miles biked today, which inequality shows the relationship?\u003Cbr>A. d > 33 B. d ≥ 33 C. d \u003C 33 D. d ≤ 33 |  |  |  |  |  |  |  |  |  |  |\n| 9) | The shelf in John's garage can hold no more than 32 pounds. If w represents the weight the shelf can hold, which inequality shows the relationship?\u003Cbr>A. w > 32 B. w ≥ 32 C. w \u003C 32 D. w ≤ 32 |  |  |  |  |  |  |  |  |  |  |\n| 10) | Rachel's team scored more points this game than last game. The team scored 14 points last game. If p represents the number of points scored this game, which inequality shows the relationship?\u003Cbr>A. p > 14 B. p ≥ 14 C. p \u003C 14 D. p ≤ 14 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nWriting an Inequality from a Word Problem  \nName: Answer Key  \n\n| Determine which inequality shows each relationship.\u003Cbr>1) To hold the school play, the drama club must sell at least 41 tickets. If b represents the number of tickets that must be sold, which inequality shows the relationship? |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.  B  |  |  |  |  |\n| 2) | A. b > 41 B. b ≥ 41 C. b \u003C 41 D. b ≤ 41\u003Cbr>A gardener keeps every plant that is at least 77 inches tall. If h represents the height of a plant that will be kept, which inequality shows the relationship? |  |  |  |  |  |  | 2.\u003Cbr>3. |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  | C |  |  |\n| 3) | A. h > 77 B. h ≥ 77 C. h \u003C 77 D. h ≤ 77\u003Cbr>There were fewer cars in the parking lot today than there were yeste","cbCaighNtZRfjpOd","https://ap.wps.com/l/cbCaighNtZRfjpOd","pdf",62459,"English","# Determine which inequality shows each relationship\n## Ticket sales scenarios\n## Plant height and other comparisons","[{\"question\":\"What do students do in each problem?\",\"answer\":\"Students choose the inequality that matches the relationship described in the word problem, using the given variable and the correct inequality symbol.\"},{\"question\":\"How are “at least” and “no more than” typically represented?\",\"answer\":\"“At least” corresponds to a greater-than-or-equal-to inequality (≥), while “no more than” corresponds to a less-than-or-equal-to inequality (≤).\"},{\"question\":\"Does the document include answers?\",\"answer\":\"Yes. An “Answer Key” section lists the correct choice for each numbered problem from 1 to 10.\"}]","Writing an Inequality from a Word Problem | PDF"]