[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464660-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-464660-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-and-testing-an-inequality-practice","Writing and Testing an Inequality - Practice","","Practice set for creating and interpreting inequalities in real-world contexts. Learners write an inequality using a labeled variable for each scenario, such as a bus capacity limit, points required to earn an award, reading time goals, phone battery charge to update, elevator occupancy restrictions, backpack safety weight, weekly savings targets, and required team size to start. Students then decide whether a given number satisfies each inequality, applying comparison symbols consistently.",{"@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-and-testing-an-inequality-practice/464660/",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-practice/464660.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":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you write an inequality for each situation?","Question",{"text":62,"@type":63},"Identify the quantity described, assign it to the given variable, then use the comparison condition from the scenario (e.g., “fewer than,” “at least,” “more than,” or “no more than”).","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"When does a test number satisfy an inequality?",{"text":67,"@type":63},"A number satisfies the inequality when it makes the comparison true using the same symbol (such as \u003C, ≤, >, or ≥) stated by the inequality.",{"name":69,"@type":60,"acceptedAnswer":70},"What inequality symbol matches “at least” or “more than”?",{"text":71,"@type":63},"“At least” corresponds to ≥, while “more than” corresponds to >. Use these when converting the words into a mathematical inequality.","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},464660,1790768487,{"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 and Testing an Inequality  \nName:  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A bus is only allowed to hold fewer than 45 standing riders. Let u be the number of standing riders.\u003Cbr>Inequality: u  \u003Cbr>Can the bus hold 38 standing riders? |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A basketball player must score at least 14 points to earn the award. Let p be the points scored.\u003Cbr>Inequality: p  \u003Cbr>Does scoring 14 points earn the award? |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A student must read at least 16 minutes a night. Let r be the minutes read. Inequality: r  \u003Cbr>Does reading for 23 minutes meet the goal? |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A phone battery needs more than 57 percent charge to update. Let e be the battery percent.\u003Cbr>Inequality: e  \u003Cbr>Can it update at 57 percent? |  | 8.   |  |  |  |  |  |  |  |\n| 5) An elevator can carry no more than 49 people at once. Let p be the number of people in the elevator.\u003Cbr>Inequality: p  \u003Cbr>Is it allowed to carry 51 people? |  |  |  |  |  |  |  |  |  |\n| 6) A backpack is safe only with less than 39 pounds in it. Let j be the weight in the backpack in pounds.\u003Cbr>Inequality: j  \u003Cbr>Is the backpack safe with 31 pounds in it? |  |  |  |  |  |  |  |  |  |\n| 7) A savings goal requires putting away more than 40 dollars a week. Let x be the dollars saved.\u003Cbr>Inequality: x  \u003Cbr>Does saving 38 dollars meet the goal? |  |  |  |  |  |  |  |  |  |\n| 8) A team needs at least 16 players to start the game. Let n be the number of players.\u003Cbr>Inequality: n  \u003Cbr>Can the team start with 20 players? |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nWriting and Testing an Inequality  \nName: Answer Key  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A bus is only allowed to hold fewer than 45 standing riders. Let u be the number of standing riders.\u003Cbr>Inequality: u  \u003Cbr>Can the bus hold 38 standing riders? |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>u \u003C 45, yes |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | p ≥ 14, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) A basketball player must score at least 14 points to earn the award. Let p be the points scored.\u003Cbr>Inequality: p  \u003Cbr>Does scoring 14 points earn the award? |  | 3.\u003Cbr>4.\u003Cbr>5. |  |  | r ≥ 16, yes |  |  |  |  |  |\n|  |  |  |  |  | e > 57, no |  |  |  |  |  |\n|  |  |  |  |  | p ≤ 49, no |  |  |  |  |  |\n| 3) A student must read at least 16 minutes a night. Let r be the minutes read. Inequality: r  \u003Cbr>Does reading for 23 minutes meet the goal? |  | 6.\u003Cbr>7. |  |  | j \u003C 39, yes |  |  |  |  |  |\n|  |  |  |  |  | x > 40, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A phone battery needs more than 57 percent charge to update. Let e be the battery percent.\u003Cbr>Inequality: e  \u003Cbr>Can it update at 57 percent? |  | 8. |  |  | n ≥ 16, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) An elevator can carry no more than 49 people at once. Let p be the number of people in the elevator.\u003Cbr>Inequality: p  \u003Cbr>Is it allowed to carry 51 people? |  |  |  |  |  |  |  |  |  |  |\n| 6) A backpack is safe only with less than 39 pounds in it. Let j be the weight in the backpack in pounds.\u003Cbr>Inequality: j  \u003Cbr>Is the backpack safe with 31 pounds in it? |  |  |  |  |  |  |  |  |  |  |\n| 7) A savings goal requires putting away more than 40 dollars a week. Let x be the dollars saved.\u003Cbr>Inequality: x  \u003Cbr>Does saving 38 dollars meet the goal? |  |  |  |  |  |  |  |  |  |  |\n| 8) A team needs at least 16 players to start the game. Let n be the number of players.\u003Cbr>Inequality: n  \u003Cbr>Can the team start with 20 players? |  |  |  |  |  |  |  |  |  |  |\n| 1","cbCaisgBscdk6RyT","https://ap.wps.com/l/cbCaisgBscdk6RyT","pdf",42926,"English","# Inequalities from real-life situations\n## Bus capacity\n## Basketball award points\n## Reading time goal\n## Phone battery charge\n## Elevator occupancy\n## Backpack weight limit\n## Savings goal\n## Team start size","[{\"question\":\"How do you write an inequality for each situation?\",\"answer\":\"Identify the quantity described, assign it to the given variable, then use the comparison condition from the scenario (e.g., “fewer than,” “at least,” “more than,” or “no more than”).\"},{\"question\":\"When does a test number satisfy an inequality?\",\"answer\":\"A number satisfies the inequality when it makes the comparison true using the same symbol (such as \\u003c, ≤, \\u003e, or ≥) stated by the inequality.\"},{\"question\":\"What inequality symbol matches “at least” or “more than”?\",\"answer\":\"“At least” corresponds to ≥, while “more than” corresponds to \\u003e. Use these when converting the words into a mathematical inequality.\"}]","Writing and Testing an Inequality - Practice | PDF"]