[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522496-105":59,"doc-detail-522496-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","sketch-the-graph-of-each-linear-inequality","Sketch the graph of each linear inequality","","A worksheet prompt instructs learners to sketch the graphs of several linear inequalities. Each problem presents an inequality in variables x and y and includes a coordinate grid where the solution set is represented. Students are expected to identify whether the inequality describes a region above or below, or to the left or right of a boundary line, and to determine the correct boundary behavior implied by the inequality sign. A name/date/period section supports class use.",{"@graph":69,"@context":122},[70,84,105],{"@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/sketch-the-graph-of-each-linear-inequality/522496/",{"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/sketch-the-graph-of-each-linear-inequality/522496.png","ImageObject",300,407,{"name":92,"@type":93},"Ivy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What should you do for each problem on this worksheet?","Question",{"text":112,"@type":113},"Sketch the graph of each given linear inequality on the provided coordinate grid.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do linear inequalities relate to boundary lines in the graph?",{"text":117,"@type":113},"Each inequality corresponds to a boundary line; the graph shows the set of points that satisfy the inequality, including whether the boundary is included or not.",{"name":119,"@type":110,"acceptedAnswer":120},"Where do you record your graphing work?",{"text":121,"@type":113},"Use the coordinate grid shown for each numbered inequality under the worksheet prompt.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522496,1791504893,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},549758252649,"https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819","# Kuta Software - Infinite Algebra 1Graphing Linear Inequalities\n\nSketch the graph of each linear inequality.  \n1) y 􀁴 􀀐􀀖x 􀀎 􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\nName   \nDate   Period   \n2) y 􀁤 x 􀀐 􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n3) y 􀀡 􀀐x 􀀐 􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n5) y 􀀡 􀀕x 􀀐 􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n4) y 􀀡 􀀐􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n6) y 􀁴 x 􀀎 􀀕  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n7) x 􀀟 􀀐􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n9) 􀀖x 􀀐 􀀕 y 􀀟 􀀔􀀓  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n11) y 􀁴 􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n8) y 􀁤 x 􀀐 􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n10) 􀀘x 􀀐 􀀖 y 􀁤 􀀐􀀔􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n12) x 􀀐 y 􀀡 􀀕  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\nKuta Software - Infinite Algebra 1Graphing Linear Inequalities  \nSketch the graph of each linear inequality.  \n1) y 􀁴 􀀐􀀖x 􀀎 􀀗  \n\n|   \u003Cbr> 􀀙  \u003Cbr>􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x  \u003Cbr>|\n\nName   \nDate   Period   \n2) y 􀁤 x 􀀐 􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔  \u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘  \u003Cbr> 􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x  \u003Cbr>|\n\n3) y 􀀡 􀀐x 􀀐 􀀘  \n\n|   \u003Cbr>􀀙􀀘􀀗􀀖􀀕  \u003Cbr> 􀀔  \u003Cbr>   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x  \u003Cbr>|\n\n\n\n\n5) y 􀀡 􀀕x 􀀐 􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐 􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\n\n\n\n4) y 􀀡 􀀐􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔  \u003Cbr>\u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x  \u003Cbr>|\n\n6) y 􀁴 x 􀀎 􀀕  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔  \u003Cbr>\u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\n7) x 􀀟 􀀐􀀘  \n\n| \u003Cbr>􀀙􀀘􀀗􀀖􀀕􀀔   | y   |\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔  \u003Cbr>\u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n9) 􀀖x 􀀐 􀀕 y 􀀟 􀀔􀀓  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘 􀀐 􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\n11) y 􀁴 􀀗  \n\n|   \u003Cbr>􀀙  \u003Cbr>􀀘  \u003Cbr> 􀀗  \u003Cbr>􀀖􀀕􀀔  \u003Cbr>   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\n8) y 􀁤 x 􀀐 􀀗  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔  \u003Cbr>􀀐􀀔􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘  \u003Cbr> 􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\n10) 􀀘x 􀀐 􀀖 y 􀁤 􀀐􀀔􀀘  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y  \u003Cbr>  \u003Cbr>|\n| --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔  \u003Cbr>\u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |\n\n12) x 􀀐 y 􀀡 􀀕  \n\n| 􀀙􀀘􀀗􀀖􀀕􀀔   | y   | |\n| --- | --- | --- |\n| 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔􀀐􀀔  \u003Cbr>\u003Cbr>􀀐􀀕􀀐􀀖􀀐􀀗􀀐􀀘􀀐􀀙   | 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 x   |  |\n\nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com","cbCaio83GkU1Tg2l","https://ap.wps.com/l/cbCaio83GkU1Tg2l","pdf",47089,"English","# Sketch the graph of each linear inequality\n## Problems 1–12","[{\"question\":\"What should you do for each problem on this worksheet?\",\"answer\":\"Sketch the graph of each given linear inequality on the provided coordinate grid.\"},{\"question\":\"How do linear inequalities relate to boundary lines in the graph?\",\"answer\":\"Each inequality corresponds to a boundary line; the graph shows the set of points that satisfy the inequality, including whether the boundary is included or not.\"},{\"question\":\"Where do you record your graphing work?\",\"answer\":\"Use the coordinate grid shown for each numbered inequality under the worksheet prompt.\"}]","Sketch the graph of each linear inequality | PDF",1791425845]