[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522579-105":59,"doc-detail-522579-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","absolute-value-inequalities-solve-each-inequality-and-graph-its-solution","Absolute Value Inequalities - Solve Each Inequality and Graph Its Solution","","Worksheet instructions for solving absolute value inequalities by determining solutions and graphing them. Problems are organized in a numbered list, each requiring students to evaluate the inequality, rewrite or simplify as needed, and produce the corresponding graph. Some items include multiple solution forms (e.g., “or” cases), and a few results specify broad solution sets such as all real numbers or indicate no solution. The worksheet is aligned with Infinite Algebra 2 absolute value inequality practice.",{"@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/absolute-value-inequalities-solve-each-inequality-and-graph-its-solution/522579/",{"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/absolute-value-inequalities-solve-each-inequality-and-graph-its-solution/522579.png","ImageObject",300,407,{"name":92,"@type":93},"Levi","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",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What should you do for each problem on the worksheet?","Question",{"text":113,"@type":114},"Solve the absolute value inequality and graph the solution set.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are solution answers presented when there are multiple cases?",{"text":118,"@type":114},"The worksheet may provide alternative forms separated by “or,” indicating different ranges or solution types.",{"name":120,"@type":111,"acceptedAnswer":121},"Can the solution set be all real numbers or none?",{"text":122,"@type":114},"Yes. Some problems explicitly indicate the solution set as all real numbers, while others state “No solution.”","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},522579,1791518745,{"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},7971461740909,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nAbsolute Value Inequalities Date  Period   \nSolve each inequality and graph its solution.  \n1)  􀀙n  􀁤 􀀔􀀛 2)  p 􀀎 􀀗  􀁤 􀀛  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙  \n3)  m 􀀐 􀀕  􀀟 􀀛  \n􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔􀀕  \n4)  􀀘x  􀁤 􀀔􀀓  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \n5)  x  􀀎 􀀘 􀁴 􀀔􀀔  \n􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓  \n6)  m  􀀐 􀀕 􀀡 􀀓  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n7)  r  􀀐 􀀖 􀀡 􀀕 8)  n  􀀎 􀀕 􀁴 􀀘  \n􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n9)  x 􀀐 􀀕  􀀐 􀀘 􀀟 􀀐􀀕  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n10)  x 􀀐 􀀗  􀀐 􀀖 􀀟 􀀘  \n􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔􀀕 􀀔􀀗  \n11) 􀀔 􀀎  􀀔 􀀎 b  􀀟 􀀗 12)  v 􀀎 􀀘  􀀐 􀀙 􀀟 􀀐􀀘  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \n13)  􀀔􀀓p 􀀐 􀀗  􀀟 􀀖􀀗  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \n14)  􀀙 􀀎 􀀜x  􀁤 􀀕􀀗  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n15)  􀀐􀀛 a 􀀐 􀀖  􀀡 􀀔􀀔  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n17) 􀀜  m 􀀐 􀀛  􀀐 􀀔􀀓 􀀟 􀀕􀀙  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \n19) 􀀜  r 􀀐 􀀕  􀀐 􀀔􀀓 􀀟 􀀐􀀚􀀖  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n21) 􀀕  􀀔􀀓b 􀀎 􀀚  􀀐 􀀔 􀀡 􀀚􀀖  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n23) 􀀗  􀀙 􀀐 􀀕 a  􀀎 􀀛 􀁤 􀀕􀀗  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \n25) 􀀖 􀀎 􀀗  􀀖 x 􀀎 􀀚  􀁴 􀀐􀀛􀀜  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n16)  􀀔 􀀐 􀀗k  􀁴 􀀐􀀔􀀔  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n18) 􀀜  x 􀀎 􀀛  􀀎 􀀔􀀓 􀀟 􀀘􀀘  \n􀀐􀀔􀀙 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n20) 􀀚  \nn  \n􀀖  \n􀀐 􀀜 􀀟 􀀔􀀕  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓  \n22) 􀀚 􀀎  􀀙v 􀀎 􀀚  􀁤 􀀙􀀓  \n􀀐􀀔􀀕 􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛  \n24) 􀀜  􀀖 n 􀀐 􀀕  􀀎 􀀙 􀀡 􀀘􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n26) 􀀜  􀀔 􀀎 􀀛 n  􀀐 􀀖 􀁴 􀀚􀀛  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nKuta Software-Infinite Algebra 2 Absolute Value Inequalities  \nName  Date  Period   \nSolve each inequality and graph its solution.  \n1)  􀀙n  􀁤 􀀔􀀛  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n􀀐􀀖 􀁤 n 􀁤 􀀖  \n2)  p 􀀎 􀀗  􀁤 􀀛  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙  \n􀀐􀀔􀀕 􀁤 p 􀁤 􀀗  \n3)  m 􀀐 􀀕  􀀟 􀀛 4)  􀀘x  􀁤 􀀔􀀓  \n􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔􀀕  \n􀀐􀀙 􀀟 m 􀀟 􀀔􀀓  \n5)  x  􀀎 􀀘 􀁴 􀀔􀀔  \n􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓  \nx 􀁴 􀀙 or x 􀁤 􀀐􀀙  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \n􀀐􀀕 􀁤 x 􀁤 􀀕  \n6)  m  􀀐 􀀕 􀀡 􀀓  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nm 􀀡 􀀕 or m 􀀟 􀀐􀀕  \n15)  􀀐􀀛 a 􀀐 􀀖  􀀡 􀀔􀀔  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n􀀚  \na 􀀟 􀀐 ~~ ~~  \n􀀗  \nor a 􀀡 􀀔  \n17) 􀀜  m 􀀐 􀀛  􀀐 􀀔􀀓 􀀟 􀀕􀀙  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \n􀀗 􀀟 m 􀀟 􀀔􀀕  \n19) 􀀜  r 􀀐 􀀕  􀀐 􀀔􀀓 􀀟 􀀐􀀚􀀖  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \nNo solution.  \n21) 􀀕  􀀔􀀓b 􀀎 􀀚  􀀐 􀀔 􀀡 􀀚􀀖  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nb 􀀡 􀀖 or b 􀀟 􀀐 ~~ ~~􀀕􀀕􀀘~~ ~~  \n23) 􀀗  􀀙 􀀐 􀀕 a  􀀎 􀀛 􀁤 􀀕􀀗  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \n􀀔 􀁤 a 􀁤 􀀘  \n25) 􀀖 􀀎 􀀗  􀀖 x 􀀎 􀀚  􀁴 􀀐􀀛􀀜  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n{ All real numbers. }  \n16)  􀀔 􀀐 􀀗k  􀁴 􀀐􀀔􀀔  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n{ All real numbers. }  \n18) 􀀜  x 􀀎 􀀛  􀀎 􀀔􀀓 􀀟 􀀘􀀘  \n􀀐􀀔􀀙 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n􀀐􀀔􀀖 􀀟 x 􀀟 􀀐􀀖  \n20) 􀀚  \nn  \n􀀖  \n􀀐 􀀜 􀀟 􀀔􀀕  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓  \n􀀐􀀜 􀀟 n 􀀟 􀀜  \n22) 􀀚 􀀎  􀀙v 􀀎 􀀚  􀁤 􀀙􀀓  \n􀀐􀀔􀀕 􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛  \n􀀐􀀔􀀓 􀁤 v 􀁤 􀀕􀀖􀀖~~ ~~  \n24) 􀀜  􀀖 n 􀀐 􀀕  􀀎 􀀙 􀀡 􀀘􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nn 􀀡  \n 􀀚   \n􀀖  \nor n 􀀟 􀀐􀀔  \n26) 􀀜  􀀔 􀀎 􀀛 n  􀀐 􀀖 􀁴 􀀚􀀛  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nn 􀁴 􀀔 or n 􀁤 􀀐 ~~ ~~􀀘􀀗~~ ~~  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaib27NzkZAvG6","https://ap.wps.com/l/cbCaib27NzkZAvG6","pdf",56466,"English","# Absolute Value Inequalities\n## Solve each inequality and graph its solution","[{\"question\":\"What should you do for each problem on the worksheet?\",\"answer\":\"Solve the absolute value inequality and graph the solution set.\"},{\"question\":\"How are solution answers presented when there are multiple cases?\",\"answer\":\"The worksheet may provide alternative forms separated by “or,” indicating different ranges or solution types.\"},{\"question\":\"Can the solution set be all real numbers or none?\",\"answer\":\"Yes. Some problems explicitly indicate the solution set as all real numbers, while others state “No solution.”\"}]","Absolute Value Inequalities - Solve Each Inequality and Graph Its Solution | PDF",1791425937]