[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360093-105":59,"doc-detail-360093-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","writing-and-graphing-inequalities-a-math-worksheet","Writing and Graphing Inequalities - A - Math Worksheet","","This educational worksheet provides structured exercises for students to practice writing and graphing mathematical inequalities. It defines essential inequality symbols, including greater than, less than, greater than or equal to, and less than or equal to, while illustrating the corresponding circle markers for graphing. The document features two main sections: one for translating verbal phrases into inequality expressions and another for graphing given inequalities. It concludes with a real-world challenge problem involving a farmers market scenario, requiring students to write, solve, and graph a linear inequality, making it an excellent resource for K-12 mathematics curriculum support.",{"@graph":69,"@context":123},[70,84,106],{"@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-and-graphing-inequalities-a-math-worksheet/360093/",{"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-and-graphing-inequalities-a-math-worksheet/360093.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",21,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you represent 'at least' as an inequality?","Question",{"text":113,"@type":114},"The phrase 'at least' corresponds to the 'greater than or equal to' symbol (≥).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the difference between an open circle and a closed circle in inequality graphing?",{"text":118,"@type":114},"An open circle (○) is used for 'greater than' (>) or 'less than' (\u003C) symbols, while a closed circle (●) is used for 'greater than or equal to' (≥) or 'less than or equal to' (≤) symbols.",{"name":120,"@type":111,"acceptedAnswer":121},"How would you express 'more than 20' as an inequality?",{"text":122,"@type":114},"Using the variable b to represent the number of bags, the inequality is written as b > 20.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},360093,1790461395,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:     \nWriting & Graphing Inequalities (A)  \nDirections: Section 1: Write the inequality and graph it. Section 2: Graph the given inequality.  \n\n| Inequality Symbols:\u003Cbr>> greater than ○\u003Cbr>\u003C less than ○\u003Cbr>≥ greater than or equal to ●≤ less than or equal to ● | Examples:\u003Cbr>Example A: x is less than 3 |  |\n| --- | --- | --- |\n|  | x \u003C 3 | |\n|  | Example B: x is greater than or equal to 2 |  |\n|  | x ≥ 2 | |\n\nSection 1—Write the Inequality and Graph 1. x is greater than 4  \nInequality:    \nGraph:  \n2. y is less than or equal to 7  \nInequality:    \nGraph:  \n3. a number n is at least 3  \nInequality:    \nGraph:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4. A vendor must sell more than 20 bags to make a profit. Let b = number of bags sold.  \nInequality:    \n5. A customer can spend at most $15 at the market. Let d = dollars spent.  \nInequality:    \nGraph:   \n6. A farmer needs to pick at least 50 apples per hour. Let a = apples picked.  \nInequality:    \nGraph:   \nSection 2—Sketch the graph each Inequality  \n7. x > 6 9. y ≥ 2  \n8. n ≤ 10 10. m \u003C 8  \n11. Challenge Problem: A farmers market stall needs to earn more than $200 per day to stay open.  \nOn Saturday the stall earned $185 plus s dollars in bonus sales.  \na) Write an inequality for the situation:    \nb) Solve the inequality:    \nc) Graph the solution on the number line.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCainQjZ7sjT6su","https://ap.wps.com/l/cbCainQjZ7sjT6su","pdf",1800736,"English","# Writing and Graphing Inequalities\n## Section 1: Write the Inequality and Graph\n## Section 2: Sketch the Graph for Each Inequality\n## Challenge Problem","[{\"question\":\"How do you represent 'at least' as an inequality?\",\"answer\":\"The phrase 'at least' corresponds to the 'greater than or equal to' symbol (≥).\"},{\"question\":\"What is the difference between an open circle and a closed circle in inequality graphing?\",\"answer\":\"An open circle (○) is used for 'greater than' (\\u003e) or 'less than' (\\u003c) symbols, while a closed circle (●) is used for 'greater than or equal to' (≥) or 'less than or equal to' (≤) symbols.\"},{\"question\":\"How would you express 'more than 20' as an inequality?\",\"answer\":\"Using the variable b to represent the number of bags, the inequality is written as b \\u003e 20.\"}]","Writing and Graphing Inequalities - A - Math Worksheet | PDF",1790138735]