[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522453-105":59,"doc-detail-522453-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","compound-inequalities-solve-each-compound-inequality-and-graph-its-solution","Compound Inequalities - Solve each compound inequality and graph its solution","","Worksheet exercises on solving compound inequalities and graphing the solution sets. The problems are arranged as a numbered sequence, each presenting an inequality (often involving variables such as m, n, r, v, x, p, k, and b) with multiple relational comparisons combined together. For every item, students are instructed to determine the values that satisfy the compound condition and then represent the solution graphically using correct interval or boundary notation.",{"@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/compound-inequalities-solve-each-compound-inequality-and-graph-its-solution/522453/",{"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-solve-each-compound-inequality-and-graph-its-solution/522453.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","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],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main task on this worksheet?","Question",{"text":112,"@type":113},"Solve each compound inequality and graph its solution.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems presented?",{"text":117,"@type":113},"They are listed as numbered items, each giving a compound inequality using variables and inequality symbols.",{"name":119,"@type":110,"acceptedAnswer":120},"What do you need to produce for each inequality?",{"text":121,"@type":113},"A solution set that satisfies the compound inequality, shown both by solving the inequality and by graphing the result.","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},522453,1791496646,{"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":52,"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},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 1 Name   \nCompound Inequalities Date  Period   \nSolve each compound inequality and graph its solution.  \n1) m 􀀐 􀀕 􀀟 􀀐􀀛 or  􀀡 􀀔  \n􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛 􀀔􀀕  \n2) 􀀐􀀔 􀀟 􀀜 􀀎 n 􀀟 􀀔􀀚  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛  \n3) 􀀕x 􀀟 􀀔􀀓 or ~~ ~~ 􀁴 􀀖  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \n4) x 􀀎 􀀛 􀁴 􀀜 and x􀀚~~ ~~ 􀁤 􀀔  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜  \n5) 􀀐􀀖 􀁤 p􀀕 􀀟 􀀓  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕  \n6) r 􀀎 􀀘 􀁴 􀀔􀀕 or ~~ ~~ 􀀟 􀀓  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \n7) 􀀚v 􀀐 􀀘 􀁴 􀀙􀀘 or 􀀐􀀖 v 􀀐 􀀕 􀁴 􀀐􀀕  \n􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔􀀕 􀀔􀀗  \n8) 􀀐􀀔􀀓b 􀀎 􀀖 􀁤 􀀐􀀖􀀚 or 􀀖 b 􀀐 􀀔􀀓 􀁤 􀀐􀀕􀀘  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n9) 􀀐􀀔 􀀎 􀀘 n 􀀡 􀀐􀀕􀀙 and 􀀚n 􀀐 􀀕 􀁤 􀀔􀀕  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n10) 􀀐􀀘􀀓 􀀟 􀀚k 􀀎 􀀙 􀀟 􀀐􀀛  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕  \n11) 􀀛 x 􀀎 􀀛 􀁴 􀀐􀀙􀀗 and 􀀐􀀚 􀀐 􀀛x 􀁴 􀀐􀀚􀀜 12) 􀀕n 􀀎 􀀚 􀁴 􀀕􀀚 or 􀀖 􀀎 􀀖 n 􀁤 􀀖􀀓  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖  \n13) 􀀐􀀖􀀙 􀀟 􀀖 p 􀀐 􀀙 􀀟 􀀐􀀔􀀘 14) 􀀐􀀔 􀀐 􀀔􀀓a 􀀟 􀀐􀀔 or 􀀔􀀓 􀀎 􀀖 a 􀁤 􀀐􀀘  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \n15) 􀀖 n 􀀎 􀀕 􀀟 􀀐􀀕 􀀎 􀀚 n or 􀀛 n 􀀐 􀀗 􀁤 􀀖 n 􀀐 􀀗 16) 􀀛 r 􀀐 􀀘 􀁴 􀀙r 􀀐 􀀔 or 􀀗 􀀎 􀀗r 􀁤 􀀖 r 􀀐 􀀖  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙  \n17) 􀀘x 􀀐 􀀘 􀀡 􀀐􀀚x 􀀐 􀀘 or 􀀖 x 􀀎 􀀘 􀁤 x 􀀐 􀀔  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \n18) 􀀙 􀀎 􀀚m 􀀟 􀀙m 􀀐 􀀘 or 􀀖 m 􀀐 􀀚 􀀟 􀀘 􀀎 􀀙m  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \nKuta Software-Infinite Algebra 1 Name   \nCompound Inequalities Date  Period   \nSolve each compound inequality and graph its solution.  \n1) m 􀀐 􀀕 􀀟 􀀐􀀛 or  􀀡 􀀔  \n􀀐􀀛 􀀐􀀗 􀀓 􀀗 􀀛 􀀔􀀕  \nm 􀀟 􀀐􀀙 or m 􀀡 􀀛  \n2) 􀀐􀀔 􀀟 􀀜 􀀎 n 􀀟 􀀔􀀚  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛  \n􀀐􀀔􀀓 􀀟 n 􀀟 􀀛  \n3) 􀀕x 􀀟 􀀔􀀓 or ~~ ~~ 􀁴 􀀖  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \nx 􀀟 􀀘 or x 􀁴 􀀙  \n4) x 􀀎 􀀛 􀁴 􀀜 and x􀀚~~ ~~ 􀁤 􀀔  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜  \n􀀔 􀁤 x 􀁤 􀀚  \n5) 􀀐􀀖 􀁤 p􀀕 􀀟 􀀓  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕  \n􀀐􀀙 􀁤 p 􀀟 􀀓  \n6) r 􀀎 􀀘 􀁴 􀀔􀀕 or ~~ ~~ 􀀟 􀀓  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \nr 􀁴 􀀚 or r 􀀟 􀀓  \n7) 􀀚v 􀀐 􀀘 􀁴 􀀙􀀘 or 􀀐􀀖 v 􀀐 􀀕 􀁴 􀀐􀀕  \n􀀐􀀕 􀀓 􀀕 􀀗 􀀙 􀀛 􀀔􀀓 􀀔􀀕 􀀔􀀗  \nv 􀁴 􀀔􀀓 or v 􀁤 􀀓  \n8) 􀀐􀀔􀀓b 􀀎 􀀖 􀁤 􀀐􀀖􀀚 or 􀀖 b 􀀐 􀀔􀀓 􀁤 􀀐􀀕􀀘  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nb 􀁴 􀀗 or b 􀁤 􀀐􀀘  \n9) 􀀐􀀔 􀀎 􀀘 n 􀀡 􀀐􀀕􀀙 and 􀀚n 􀀐 􀀕 􀁤 􀀔􀀕  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n􀀐􀀘 􀀟 n 􀁤 􀀕  \n10) 􀀐􀀘􀀓 􀀟 􀀚k 􀀎 􀀙 􀀟 􀀐􀀛  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓 􀀕  \n􀀐􀀛 􀀟 k 􀀟 􀀐􀀕  \n11) 􀀛 x 􀀎 􀀛 􀁴 􀀐􀀙􀀗 and 􀀐􀀚 􀀐 􀀛x 􀁴 􀀐􀀚􀀜  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \n􀀓  \n􀀕  \n􀀗  \n􀀙  \n􀀛  \n􀀔􀀓  \n􀀐􀀜 􀁤 x  \n􀁤 􀀜  \n12) 􀀕n  \n􀀎 􀀚 􀁴 􀀕􀀚 or 􀀖 􀀎 􀀖 n 􀁤 􀀖􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \n􀀔􀀓  \n􀀔􀀔  \n􀀔􀀕  \n􀀔􀀖  \nn 􀁴 􀀔􀀓 or n 􀁤 􀀜  \n13)  \n􀀐􀀖􀀙 􀀟 􀀖p  \n􀀐 􀀙 􀀟 􀀐􀀔􀀘  \n􀀐􀀔􀀕  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \n􀀐􀀔􀀓 􀀟 p 􀀟 􀀐􀀖  \n14) 􀀐􀀔 􀀐 􀀔􀀓a 􀀟 􀀐􀀔 or 􀀔􀀓 􀀎 􀀖 a 􀁤 􀀐􀀘  \n􀀐􀀜  \n􀀐􀀛  \n􀀐􀀚  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \na 􀀡 􀀓 or a 􀁤 􀀐􀀘  \n15) 􀀖 n 􀀎 􀀕 􀀟 􀀐􀀕 􀀎 􀀚 n or 􀀛 n 􀀐 􀀗 􀁤 􀀖 n 􀀐 􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \nn 􀀡 􀀔 or n 􀁤 􀀓  \n16) 􀀛 r  \n􀀐 􀀘 􀁴 􀀙r 􀀐 􀀔 or 􀀗 􀀎 􀀗r 􀁤 􀀖 r 􀀐 􀀖  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \n􀀓  \n􀀕  \n􀀗  \n􀀙  \nr 􀁴 􀀕 or r 􀁤 􀀐􀀚  \n17) 􀀘x 􀀐 􀀘 􀀡 􀀐􀀚x 􀀐 􀀘 or 􀀖 x 􀀎 􀀘 􀁤 x 􀀐 􀀔  \n􀀐􀀛  \n􀀐􀀚  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \nx 􀀡 􀀓 or x 􀁤 􀀐􀀖  \n18) 􀀙 􀀎 􀀚m 􀀟 􀀙m  \n􀀐 􀀘 or 􀀖 m  \n􀀐 􀀚 􀀟 􀀘 􀀎 􀀙m  \n􀀐􀀔􀀗  \n􀀐􀀔􀀕  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \n􀀓  \nm 􀀟 􀀐􀀔􀀔 or m 􀀡 􀀐􀀗  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaioLx2nhoZeLt","https://ap.wps.com/l/cbCaioLx2nhoZeLt","pdf",48227,"English","# Problems\n## Numbered compound inequalities","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"Solve each compound inequality and graph its solution.\"},{\"question\":\"How are the problems presented?\",\"answer\":\"They are listed as numbered items, each giving a compound inequality using variables and inequality symbols.\"},{\"question\":\"What do you need to produce for each inequality?\",\"answer\":\"A solution set that satisfies the compound inequality, shown both by solving the inequality and by graphing the result.\"}]","Compound Inequalities - Solve each compound inequality and graph its solution | PDF",1791425800]