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The tasks ask students to sketch solutions for multiple given inequality systems, labeled 1 through 8, each with a pair of linear inequalities in two variables. A coordinate-graph style grid is provided to help identify which side of each boundary line is included, then combine the constraints to determine the shared solution area.",{"@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/solving-systems-of-inequalities-worksheet-sketch-the-solution-to-each-system-of-inequalities/522561/",{"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/solving-systems-of-inequalities-worksheet-sketch-the-solution-to-each-system-of-inequalities/522561.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",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 goal of these worksheets?","Question",{"text":113,"@type":114},"Sketch the solution to each system of inequalities by identifying the combined solution region on a graph.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the problems organized?",{"text":118,"@type":114},"The worksheet lists eight systems of inequalities, numbered 1 through 8, each requiring a graph-based sketch solution.",{"name":120,"@type":111,"acceptedAnswer":121},"What does “sketch the solution” mean for inequality systems?",{"text":122,"@type":114},"It means graph the related boundary lines (as appropriate) and determine which region satisfies both inequalities together, then sketch that overlap.","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},522561,1791505548,{"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":19,"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":52,"preview_page_count":4},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Algebra 1 Name   \nSolving Systems of Inequalities Date  Period   \nSketch the solution to each system of inequalities.  \n1) y 􀁤 􀀐x 􀀐 􀀕 y 􀁴 􀀐􀀘x 􀀎 􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n3) y 􀁤 􀀔􀀕~~ ~~x 􀀎 􀀕 y 􀀟 􀀐􀀕x 􀀐 􀀖  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n2) y 􀀡 􀀐x 􀀐 􀀕 y 􀀟 􀀐􀀘x 􀀎 􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n4) x 􀁤 􀀐􀀖 y 􀀟 ~~ ~~􀀘􀀖~~ ~~x 􀀎 􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n5) y 􀁤 􀀐 ~~ ~~􀀘􀀕􀀔~~ ~~x 􀀐 􀀕 y 􀀟 􀀐  􀀕 x 􀀎 􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n7) 􀀗x 􀀎 y 􀀟 􀀕 y 􀀡 􀀐􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n6) y 􀁴 􀀕􀀖~~ ~~x 􀀎 􀀖 y 􀀡 􀀐 ~~ ~~􀀗􀀖~~ ~~x 􀀐 􀀖  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\n8) 􀀖 x 􀀎 􀀕 y 􀁴 􀀐􀀕 x 􀀎 􀀕 y 􀁤 􀀕  \n\n| | y |\n| --- | --- |\n| 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔\u003Cbr>􀀐􀀕\u003Cbr>􀀐􀀖\u003Cbr>􀀐􀀗\u003Cbr>􀀐􀀘 | 􀀔 􀀕 􀀖 􀀗 􀀘 x |\n\nKuta Software-Infinite Algebra 1 Name   \nSolving Systems of Inequalities Date  Period   \nSketch the solution to each system of inequalities.  \n1) y 􀁤 􀀐x 􀀐 􀀕 y 􀁴 􀀐􀀘x 􀀎 􀀕  \n2) y 􀀡 􀀐x 􀀐 􀀕 y 􀀟 􀀐􀀘x 􀀎 􀀕  \n3) y 􀁤 􀀔􀀕~~ ~~x 􀀎 􀀕 y 􀀟 􀀐􀀕x 􀀐 􀀖  \n4) x 􀁤 􀀐􀀖 y 􀀟 ~~ ~~􀀘􀀖~~ ~~x 􀀎 􀀕  \n5) y 􀁤 􀀐 ~~ ~~􀀘􀀕􀀔~~ ~~x 􀀐 􀀕 y 􀀟 􀀐  􀀕 x 􀀎 􀀕  \n7) 􀀗x 􀀎 y 􀀟 􀀕 y 􀀡 􀀐􀀕  \n6) y 􀁴 􀀕􀀖~~ ~~x 􀀎 􀀖 y 􀀡 􀀐 ~~ ~~􀀗􀀖~~ ~~x 􀀐 􀀖  \n8) 􀀖 x 􀀎 􀀕 y 􀁴 􀀐􀀕 x 􀀎 􀀕 y 􀁤 􀀕  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaisxwAYWC0OsR","https://ap.wps.com/l/cbCaisxwAYWC0OsR","pdf",40287,"English","# Sketch solutions to inequality systems\n## Problems 1-8","[{\"question\":\"What is the goal of these worksheets?\",\"answer\":\"Sketch the solution to each system of inequalities by identifying the combined solution region on a graph.\"},{\"question\":\"How are the problems organized?\",\"answer\":\"The worksheet lists eight systems of inequalities, numbered 1 through 8, each requiring a graph-based sketch solution.\"},{\"question\":\"What does “sketch the solution” mean for inequality systems?\",\"answer\":\"It means graph the related boundary lines (as appropriate) and determine which region satisfies both inequalities together, then sketch that overlap.\"}]","Solving Systems of Inequalities - Worksheet - Sketch the solution to each system of inequalities | PDF",1791425916]