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Several items indicate cases with “No solution” and include solution sets such as “All real numbers.”",{"@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/infinite-algebra-1-multi-step-inequalities-solve-each-inequality-and-graph-its-solution/522508/",{"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/infinite-algebra-1-multi-step-inequalities-solve-each-inequality-and-graph-its-solution/522508.png","ImageObject",300,407,{"name":92,"@type":93},"Aria","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 does each worksheet problem require students to do?","Question",{"text":112,"@type":113},"Solve each inequality and graph its solution.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do any problems indicate that there is no solution?",{"text":117,"@type":113},"Yes. Some items explicitly state “No solution.”",{"name":119,"@type":110,"acceptedAnswer":120},"Are there cases where the solution set includes all real numbers?",{"text":121,"@type":113},"Yes. Some problems include “All real numbers” as the solution set.","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},522508,1791506643,{"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},2336464648322,"https://ap-avatar.wpscdn.com/avatar/2200025388227c56fec?_k=1778556882303663488","Infinite Algebra 1  \nMulti-Step Inequalities  \nSolve each inequality and graph its solution.  \n1) 􀀖 􀀟 􀀐􀀘n 􀀎 􀀕n  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nName  Date  Period   \n2) 􀀙x 􀀎 􀀕 􀀎 􀀙x 􀀟 􀀔􀀗  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \n3) 􀀐 p 􀀐 􀀗p 􀀡 􀀐􀀔􀀓  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \n4) 􀀔􀀛 􀁴 􀀘k 􀀎 􀀗k  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n5) 􀀜 􀁴 􀀐􀀕m 􀀎 􀀕 􀀐 􀀖  \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔  \n6) 􀀐􀀖 􀀐 􀀙(􀀗x 􀀎 􀀙) 􀀡 􀀐􀀔􀀔􀀔  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n7) 􀀙 􀀐 􀀗(􀀙n 􀀎 􀀚 ) 􀁴 􀀔􀀕􀀕  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \n8) 􀀐􀀔􀀖􀀛 􀁴 􀀐􀀙(􀀙b 􀀐 􀀚 )  \n􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖  \n9) 􀀔􀀙􀀚 􀀟 􀀙 􀀎 􀀚 (􀀕 􀀐 􀀚r)  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \n10) 􀀘 (􀀙 􀀎 􀀖 r) 􀀎 􀀚 􀁴 􀀔􀀕􀀚  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \n11) 􀀐􀀛 x 􀀎 􀀕x 􀀐 􀀔􀀙 􀀟 􀀐􀀘x 􀀎 􀀚x  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \n12) 􀀐􀀔 􀀐 􀀙x 􀀐 􀀙 􀀡 􀀐􀀔􀀔 􀀐 􀀚x  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \n13) a 􀀐 􀀙 􀁤 􀀔􀀘 􀀎 􀀛 a 14) 􀀔􀀖 􀀎 􀀕 v 􀀐 􀀛 􀀎 􀀙 􀀡 􀀐􀀚 􀀐 v  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔  \n15) 􀀐􀀘n 􀀐 􀀙n 􀁤 􀀛 􀀐 􀀛 n 􀀐 n 16) 􀀐x 􀀟 􀀐x 􀀎 􀀚(x 􀀐 􀀕)  \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \n17) 􀀐􀀘n 􀀎 􀀙 􀁴 􀀐􀀚 (􀀘n 􀀐 􀀙) 􀀐 􀀙n 18) 􀀖 (p 􀀐 􀀖) 􀀐 􀀘 p 􀀡 􀀐􀀖 p 􀀐 􀀙  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n19) 􀀕􀀛 􀀐 k 􀁴 􀀚(k 􀀐 􀀗)  \n􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \n20) 􀀕􀀛 􀀐 􀀚x 􀁤 􀀐􀀗 (􀀐􀀚x 􀀐 􀀚 )  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n21) 􀀐􀀙 (􀀔 􀀎 􀀚k) 􀀎 􀀚(􀀔 􀀎 􀀙k) 􀁤 􀀐􀀕 22) 􀀐􀀕 (􀀕 􀀐 􀀕x) 􀀐 􀀗(x 􀀎 􀀘 ) 􀁤 􀀐􀀕􀀗  \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n23) 􀀖 (􀀔 􀀐 􀀕x) 􀀡 􀀖 􀀐 􀀙x  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n24) 􀀐􀀕 (􀀘 􀀎 􀀙n) 􀀟 􀀙 (􀀛 􀀐 􀀕n)  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nInfinite Algebra 1  \nMulti-Step Inequalities  \nSolve each inequality and graph its solution.  \n1) 􀀖 􀀟 􀀐􀀘n 􀀎 􀀕n  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nn 􀀟 􀀐􀀔  \nName  Date  Period   \n2) 􀀙x 􀀎 􀀕 􀀎 􀀙x 􀀟 􀀔􀀗  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \nx 􀀟 􀀔  \n3) 􀀐 p 􀀐 􀀗p 􀀡 􀀐􀀔􀀓  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \np 􀀟 􀀕  \n4) 􀀔􀀛 􀁴 􀀘k 􀀎 􀀗k  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nk 􀁤 􀀕  \n5) 􀀜 􀁴 􀀐􀀕m 􀀎 􀀕 􀀐 􀀖  \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔  \nm 􀁴 􀀐􀀘  \n6) 􀀐􀀖 􀀐 􀀙(􀀗x 􀀎 􀀙) 􀀡 􀀐􀀔􀀔􀀔  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nx 􀀟 􀀖  \n7) 􀀙 􀀐 􀀗(􀀙n 􀀎 􀀚 ) 􀁴 􀀔􀀕􀀕  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \nn 􀁤 􀀐􀀙  \n8) 􀀐􀀔􀀖􀀛 􀁴 􀀐􀀙(􀀙b 􀀐 􀀚 )  \n􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖  \nb 􀁴 􀀘  \n9) 􀀔􀀙􀀚 􀀟 􀀙 􀀎 􀀚 (􀀕 􀀐 􀀚r)  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \nr 􀀟 􀀐􀀖  \n10) 􀀘 (􀀙 􀀎 􀀖 r) 􀀎 􀀚 􀁴 􀀔􀀕􀀚  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \nr 􀁴 􀀙  \n11) 􀀐􀀛 x 􀀎 􀀕x 􀀐 􀀔􀀙 􀀟 􀀐􀀘x 􀀎 􀀚x  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \nx 􀀡 􀀐􀀕  \n12) 􀀐􀀔 􀀐 􀀙x 􀀐 􀀙 􀀡 􀀐􀀔􀀔 􀀐 􀀚x  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nx 􀀡 􀀐􀀗  \n13) a 􀀐 􀀙 􀁤 􀀔􀀘 􀀎 􀀛 a  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \na 􀁴 􀀐􀀖  \n14)  \n􀀔􀀖 􀀎 􀀕 v  \n􀀐 􀀛 􀀎 􀀙 􀀡 􀀐􀀚 􀀐 v  \n􀀐􀀜  \n􀀐􀀛  \n􀀐􀀚  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \nv 􀀡 􀀐􀀙  \n15)  \n􀀐􀀘n 􀀐 􀀙n 􀁤 􀀛 􀀐 􀀛 n 􀀐 n  \n􀀐􀀜  \n􀀐􀀛  \n􀀐􀀚  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \nn 􀁴 􀀐􀀗  \n16) 􀀐x 􀀟 􀀐x 􀀎 􀀚(x 􀀐 􀀕)  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \nx 􀀡 􀀕  \n17)  \n􀀐􀀘n 􀀎 􀀙 􀁴  \n􀀐􀀚 (􀀘n 􀀐 􀀙) 􀀐 􀀙n  \n􀀐􀀚  \n􀀐􀀙  \n􀀐􀀘  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \nn 􀁴 􀀔  \n18) 􀀖 (p 􀀐 􀀖) 􀀐 􀀘 p 􀀡 􀀐􀀖 p  \n􀀐 􀀙  \n􀀐􀀗  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \np 􀀡 􀀖  \n19)  \n􀀕􀀛 􀀐 k 􀁴 􀀚(k  \n􀀐 􀀗)  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \n􀀔􀀓  \n􀀔􀀔  \n􀀔􀀕  \n􀀔􀀖  \n􀀔􀀗  \n􀀔􀀘  \nk 􀁤 􀀚  \n20) 􀀕􀀛 􀀐 􀀚x 􀁤 􀀐􀀗 (􀀐􀀚x  \n􀀐 􀀚 )  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \nx 􀁴 􀀓  \n21) 􀀐􀀙 (􀀔 􀀎 􀀚k) 􀀎 􀀚(􀀔 􀀎 􀀙k) 􀁤 􀀐􀀕 22) 􀀐􀀕 (􀀕 􀀐 􀀕x) 􀀐 􀀗(x 􀀎 􀀘 ) 􀁤 􀀐􀀕􀀗  \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔  \nNo solution.  \n23) 􀀖 (􀀔 􀀐 􀀕x) 􀀡 􀀖 􀀐 􀀙x  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nNo solution.  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n{ All real numbers. }  \n24) 􀀐􀀕 (􀀘 􀀎 􀀙n) 􀀟 􀀙 (􀀛 􀀐 􀀕n)  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \n{ All real numbers. }  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaidqO9E16zDhI","https://ap.wps.com/l/cbCaidqO9E16zDhI","pdf",50011,"English","# Solve each inequality and graph its solution\n## Inequality problems (1-24)\n## Cases: No solution and All real numbers","[{\"question\":\"What does each worksheet problem require students to do?\",\"answer\":\"Solve each inequality and graph its solution.\"},{\"question\":\"Do any problems indicate that there is no solution?\",\"answer\":\"Yes. Some items explicitly state “No solution.”\"},{\"question\":\"Are there cases where the solution set includes all real numbers?\",\"answer\":\"Yes. Some problems include “All real numbers” as the solution set.\"}]","Infinite Algebra 1 - Multi-Step Inequalities - Solve each inequality and graph its solution | PDF",1791425858]