[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366111-105":59,"doc-detail-366111-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","graphing-linear-inequalities-lesson-guide","Graphing Linear Inequalities - Lesson Guide","","Lesson guide for learning how to graph linear inequalities on a coordinate plane. Introduces key distinctions between equations and inequalities, including how solution sets differ for greater/less than versus greater/less than or equal to. Provides a quick review of inequality concepts and then walks through two worked examples that require graphing the given inequality and checking whether selected points lie in the shaded region, on the boundary line, or in the non-shaded region. Includes two practice problems labeled Try On Your Own, plus an answer key.",{"@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/graphing-linear-inequalities-lesson-guide/366111/",{"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/graphing-linear-inequalities-lesson-guide/366111.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the difference between an equation and an inequality?","Question",{"text":113,"@type":114},"An equation has a specific solution, while an inequality represents a range of values. Inequalities have a set of solutions rather than a single point or value.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do solutions differ between greater/less than and greater/less than or equal to inequalities?",{"text":118,"@type":114},"Greater/less than inequalities exclude the boundary line, while greater/less than or equal to inequalities include it. This determines whether points on the line belong to the solution set.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you graph a linear inequality on the coordinate plane?",{"text":122,"@type":114},"Graph the boundary line for the inequality, then shade the appropriate side of the plane. Finally, confirm whether chosen points fall in the shaded region, on the line, or in the non-shaded region.","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},366111,1790306887,{"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":34,"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":145,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n____________________________________  \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nGraphing Linear Inequalities  \nKey Questions  \n• What is the difference between an equation and an inequality?  \n• What is the difference between the solutions to greater/less than and greater/ess than or equal to inequalities?  \n• How can you graph a linear inequality?  \nQuick Review  \nEQUATION  \nINEQUALITY  \nInequalities have a set of   solutions .  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nGraphing Linear Inequalities  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nExample \\#1  \nOn the coordinate plane below, graph the given inequality and confirm whether or not three points of your choosing (one in the shaded region, one on the line, and one in the non-shaded region) are in the solution set.  \n􀀡 ≥ 􀀡􀀢 − 􀀡  \nCHECK  \n\n| Shaded Region ( ) | On the Line ( ) | Non-Shaded Region\u003Cbr>( ) |\n| --- | --- | --- |\n|  |  |  |\n\nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nExample \\#2  \nOn the coordinate plane below, graph the given inequality and confirm whether or not three points of your choosing (one in the shaded region, one on the line, and one in the non-shaded region) are in the solution set.  \n􀀡 \u003C  \n􀀡  \n􀀡  \n􀀡 + 􀀡  \nCHECK  \n\n| Shaded Region ( ) | On the Line ( ) | Non-Shaded Region\u003Cbr>( ) |\n| --- | --- | --- |\n|  |  |  |\n\nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4  \nTry On Your Own! \\#1  \nOn the coordinate plane below, graph the given inequality and confirm whether or not three points of your choosing (one in the shaded region, one on the line, and one in the non-shaded region) are in the solution set.  \n􀀡 ≤ 􀀡􀀡 − 􀀡  \nCHECK  \n| Shaded Region ( ) | On the Line ( ) | Non-Shaded Region\u003Cbr>( ) |\n| --- | --- | --- |\n|  |  |  |\n\nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 5  \nTry On Your Own! \\#2  \nOn the coordinate plane below, graph the given inequality and confirm whether or not three points of your choosing (one in the shaded region, one on the line, and one in the non-shaded region) are in the solution set.  \n􀀡 >  \n􀀡  \n􀀡  \n􀀡 + 􀀡  \nCHECK  \n\n| Shaded Region ( ) | On the Line ( ) | Non-Shaded Region\u003Cbr>( ) |\n| --- | --- | --- |\n|  |  |  |\n\nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 6  \nANSWER KEY  \nExample \\#1 : Example \\#2:  \nTry On Your Own \\#1  \n\\#2  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 7","cbCaibOxlY6r4lJ4","https://ap.wps.com/l/cbCaibOxlY6r4lJ4","pdf",2123035,"English","# Key Questions\n## Difference between equations and inequalities\n## Comparing solution types\n## How to graph a linear inequality\n# Quick Review\n## Equation vs. inequality\n# Example #1\n## Graph and verify points\n# Example #2\n## Graph and verify points\n# Try On Your Own! #1\n## Graph and verify points\n# Try On Your Own! #2\n## Graph and verify points\n# Answer Key","[{\"question\":\"What is the difference between an equation and an inequality?\",\"answer\":\"An equation has a specific solution, while an inequality represents a range of values. Inequalities have a set of solutions rather than a single point or value.\"},{\"question\":\"How do solutions differ between greater/less than and greater/less than or equal to inequalities?\",\"answer\":\"Greater/less than inequalities exclude the boundary line, while greater/less than or equal to inequalities include it. This determines whether points on the line belong to the solution set.\"},{\"question\":\"How do you graph a linear inequality on the coordinate plane?\",\"answer\":\"Graph the boundary line for the inequality, then shade the appropriate side of the plane. Finally, confirm whether chosen points fall in the shaded region, on the line, or in the non-shaded region.\"}]","Graphing Linear Inequalities - Lesson Guide | PDF",1790163860,18]