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Includes 20 labeled practice problems covering different inequality combinations in variables such as n, k, x, m, p, b, r, and v, with instructions to determine the solution sets and represent them graphically. Some items indicate multiple expressions or conditions, and at least one problem states “No solution,” reinforcing boundary behavior and correct interval notation.",{"@graph":69,"@context":126},[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/compound-inequalities-algebra-2-worksheet-solve-and-graph-20-problems/522611/",{"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/compound-inequalities-algebra-2-worksheet-solve-and-graph-20-problems/522611.png","ImageObject",300,407,{"name":92,"@type":93},"River Wang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask you to do for each problem?","Question",{"text":112,"@type":113},"Solve each compound inequality and graph its solution, identifying the correct solution set for the given variable(s).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many practice problems are included?",{"text":117,"@type":113},"There are 20 problems, labeled 1) through 20).",{"name":119,"@type":110,"acceptedAnswer":120},"Does the worksheet include cases with no valid solution?",{"text":121,"@type":113},"Yes. One of the problems includes the note “No solution,” indicating an empty solution set for that inequality.",{"name":123,"@type":110,"acceptedAnswer":124},"What kinds of variables appear in the compound inequalities?",{"text":125,"@type":113},"The worksheet uses multiple variables across problems, including n, k, x, m, p, b, r, and v.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},522611,1791503844,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":147,"read_time":52,"preview_page_count":4},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","Kuta Software-Infinite Algebra 2 Name   \nCompound Inequalities Date  Period   \nSolve each compound inequality and graph its solution.  \n1)  􀀐n􀀚 􀀎􀀐􀀙 􀀔 􀀐􀁤􀀘 􀀖􀀐o􀀖r􀀐 n􀀔 􀀟􀀓 􀀛 􀀕 􀀖 􀀗 􀀘 􀀙  2) k􀀗 􀁴 􀀔 or k􀀖 􀁤 􀀐􀀔  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n3) 􀀕 􀀟 􀀕x 􀀟 􀀙  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n4) 􀀙 􀁤 x 􀀎 􀀙 􀁤 􀀔􀀔  \n􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \n5) 􀀐􀀖 􀀟 m 􀀐 􀀘 􀀟 􀀐􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n6) p 􀀎 􀀗 􀁤 􀀔 or p 􀀐 􀀔 􀁴 􀀔  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n7) 􀀐􀀖􀀖 􀁤 􀀐􀀚n 􀀐 􀀔􀀕 􀀟 􀀐􀀕􀀙  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n8) 􀀜 􀀎 􀀕 b 􀀟 􀀚 or 􀀚 􀀐 􀀘b 􀀟 􀀐􀀛  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n9) 􀀜 􀀐 􀀔􀀕 r 􀁴 􀀐􀀜􀀜 and 􀀐􀀕 r 􀀐 􀀗 􀀟 􀀐􀀔􀀕  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n10) 􀀔􀀕 􀀎 􀀗n 􀀡 􀀗􀀗 or 􀀔􀀓 􀀐 􀀔􀀕n 􀀡 􀀐􀀖􀀛  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n11) 􀀐􀀘b 􀀐 􀀛 􀁤 􀀐􀀙􀀛 or 􀀔􀀔 b 􀀐 􀀔􀀕 􀀟 􀀐􀀔􀀓􀀓 12) 􀀖􀀙 􀁤 􀀔􀀔 􀀐 􀀘 x 􀁤 􀀙􀀙  \n􀀐􀀔􀀕 􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛 􀀔􀀕 􀀔􀀙 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n13) 􀀐􀀔􀀓 􀀐 􀀕 v 􀀟 􀀙 and 􀀙v 􀀎 􀀔􀀕 􀀟 􀀐􀀙 14) 􀀕x 􀀐 􀀖 􀀟 􀀔􀀔 or 􀀐􀀛 x 􀀐 􀀔􀀓 􀀟 􀀐􀀛􀀕  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \n15) 􀀗b 􀀎 􀀔􀀛 􀁤 􀀐􀀔􀀕 b 􀀐 􀀔􀀗 􀁤 􀀔􀀗 􀀐 􀀘 b 16) 􀀗a 􀀎 􀀛 􀀡 􀀔􀀔 a 􀀎 􀀔􀀘 and 􀀔􀀖 􀀐 􀀔􀀗a 􀁤 􀀔􀀖 􀀐 􀀖 a  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n17) 􀀛 p 􀀐 􀀔􀀖 􀁤 􀀐􀀕 􀀎 􀀚p and 􀀕􀀓 􀀎 􀀗p 􀀟 􀀕p 􀀎 􀀔􀀗 18) 􀀘v 􀀎 􀀔􀀓 􀁤 􀀐􀀗v 􀀐 􀀔􀀚 􀀟 􀀜 􀀐 􀀕 v  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n19) 􀀔􀀗r 􀀎 􀀕􀀓 􀀟 􀀔􀀗r 􀀎 􀀔􀀙 or 􀀛 􀀐 􀀔􀀓r 􀁴 􀀔􀀘 􀀐 􀀜 r  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \n20) x 􀀎 􀀔􀀛 􀁴 􀀛 x 􀀎 􀀗 or 􀀔􀀘 x 􀀐 􀀔􀀘 􀁤 􀀔􀀘 x 􀀎 􀀘  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \nKuta Software-Infinite Algebra 2 Name   \nCompound Inequalities Date  Period   \nSolve each compound inequality and graph its solution.  \n1) n 􀀎 􀀔 􀁤 􀀐􀀖 or 􀀐􀀗n 􀀟 􀀐􀀛  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nn 􀁤 􀀐􀀗 or n 􀀡 􀀕  \n2) k􀀗 􀁴 􀀔 or k􀀖 􀁤 􀀐􀀔  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nk 􀁴 􀀗 or k 􀁤 􀀐􀀖  \n3) 􀀕 􀀟 􀀕x 􀀟 􀀙  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n􀀔 􀀟 x 􀀟 􀀖  \n4) 􀀙 􀁤 x 􀀎 􀀙 􀁤 􀀔􀀔  \n􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \n􀀓 􀁤 x 􀁤 􀀘  \n5) 􀀐􀀖 􀀟 m 􀀐 􀀘 􀀟 􀀐􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n􀀕 􀀟 m 􀀟 􀀗  \n6) p 􀀎 􀀗 􀁤 􀀔 or p 􀀐 􀀔 􀁴 􀀔  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \np 􀁤 􀀐􀀖 or p 􀁴 􀀕  \n7) 􀀐􀀖􀀖 􀁤 􀀐􀀚n 􀀐 􀀔􀀕 􀀟 􀀐􀀕􀀙  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n􀀕 􀀟 n 􀁤 􀀖  \n8) 􀀜 􀀎 􀀕 b 􀀟 􀀚 or 􀀚 􀀐 􀀘b 􀀟 􀀐􀀛  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nb 􀀟 􀀐􀀔 or b 􀀡 􀀖  \n9) 􀀜 􀀐 􀀔􀀕 r 􀁴 􀀐􀀜􀀜 and 􀀐􀀕 r 􀀐 􀀗 􀀟 􀀐􀀔􀀕  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n􀀗 􀀟 r 􀁤 􀀜  \n10) 􀀔􀀕 􀀎 􀀗n 􀀡 􀀗􀀗 or 􀀔􀀓 􀀐 􀀔􀀕n 􀀡 􀀐􀀖􀀛  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \nn 􀀡 􀀛 or n 􀀟 􀀗  \n11) 􀀐􀀘b 􀀐 􀀛 􀁤 􀀐􀀙􀀛 or 􀀔􀀔 b 􀀐 􀀔􀀕 􀀟 􀀐􀀔􀀓􀀓 12) 􀀖􀀙 􀁤 􀀔􀀔 􀀐 􀀘 x 􀁤 􀀙􀀙  \n􀀐􀀔􀀕 􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛 􀀔􀀕 􀀔􀀙  \nb 􀁴 􀀔􀀕 or b 􀀟 􀀐􀀛  \n13) 􀀐􀀔􀀓 􀀐 􀀕 v 􀀟 􀀙 and 􀀙v 􀀎 􀀔􀀕 􀀟 􀀐􀀙  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n􀀐􀀛 􀀟 v 􀀟 􀀐􀀖  \n15) 􀀗b 􀀎 􀀔􀀛 􀁤 􀀐􀀔􀀕 b 􀀐 􀀔􀀗 􀁤 􀀔􀀗 􀀐 􀀘 b  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \n􀀐􀀗 􀁤 b 􀁤 􀀐􀀕  \n17) 􀀛 p 􀀐 􀀔􀀖 􀁤 􀀐􀀕 􀀎 􀀚p and 􀀕􀀓 􀀎 􀀗p 􀀟 􀀕p 􀀎 􀀔􀀗  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕  \np 􀀟 􀀐􀀖  \n19) 􀀔􀀗r 􀀎 􀀕􀀓 􀀟 􀀔􀀗r 􀀎 􀀔􀀙 or 􀀛 􀀐 􀀔􀀓r 􀁴 􀀔􀀘 􀀐 􀀜 r  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \nr 􀁤 􀀐􀀚  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n􀀐􀀔􀀔 􀁤 x 􀁤 􀀐􀀘  \n14) 􀀕x 􀀐 􀀖 􀀟 􀀔􀀔 or 􀀐􀀛 x 􀀐 􀀔􀀓 􀀟 􀀐􀀛􀀕  \n􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \nx 􀀟 􀀚 or x 􀀡 􀀜  \n16) 􀀗a 􀀎 􀀛 􀀡 􀀔􀀔 a 􀀎 􀀔􀀘 and 􀀔􀀖 􀀐 􀀔􀀗a 􀁤 􀀔􀀖 􀀐 􀀖 a  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nNo solution.  \n18) 􀀘v 􀀎 􀀔􀀓 􀁤 􀀐􀀗v 􀀐 􀀔􀀚 􀀟 􀀜 􀀐 􀀕 v  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n􀀐􀀔􀀖 􀀟 v 􀁤 􀀐􀀖  \n20) x 􀀎 􀀔􀀛 􀁴 􀀛 x 􀀎 􀀗 or 􀀔􀀘 x 􀀐 􀀔􀀘 􀁤 􀀔􀀘 x 􀀎 􀀘  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n{ All real numbers. }  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaivoL7l09YM8E","https://ap.wps.com/l/cbCaivoL7l09YM8E","pdf",49247,"English","# Instructions\n## Solve each compound inequality and graph its solution\n# Practice Problems (1-20)","[{\"question\":\"What does the worksheet ask you to do for each problem?\",\"answer\":\"Solve each compound inequality and graph its solution, identifying the correct solution set for the given variable(s).\"},{\"question\":\"How many practice problems are included?\",\"answer\":\"There are 20 problems, labeled 1) through 20).\"},{\"question\":\"Does the worksheet include cases with no valid solution?\",\"answer\":\"Yes. One of the problems includes the note “No solution,” indicating an empty solution set for that inequality.\"},{\"question\":\"What kinds of variables appear in the compound inequalities?\",\"answer\":\"The worksheet uses multiple variables across problems, including n, k, x, m, p, b, r, and v.\"}]","Compound Inequalities - Algebra 2 Worksheet - Solve and Graph 20 Problems | PDF",1791425970]