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Prompts instruct learners to solve each inequality and graph the resulting solution set. Problems involve different inequality forms, including variable expressions such as x, n, k, a, b, p, and r, with relational symbols like less than, greater than, and their strict/non-strict variants. Students practice combining steps to isolate the variable and represent solutions on a number line, reinforcing inequality-solving fundamentals and accurate graphing.",{"@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/multi-step-inequalities-solve-each-inequality-and-graph-its-solution/523380/",{"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/multi-step-inequalities-solve-each-inequality-and-graph-its-solution/523380.png","ImageObject",300,407,{"name":92,"@type":93},"Rainbow 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r.","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},523380,1791492003,{"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},962090769181,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Pre-Algebra Solving Multi-Step Inequalities  \nSolve each inequality and graph its solution.  \n1) 􀀐􀀔􀀔 􀁴 􀀙 􀀐 􀀕n 􀀐 􀀘  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \nName  Date  Period   \n2) 􀀓 􀀡 􀀐􀀘x 􀀐 􀀙x  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \n3) x 􀀎 􀀔 􀀎 􀀗 􀁤 􀀜 4) 􀀐􀀜 􀀡 􀀐􀀘n 􀀐 􀀗n  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \n5) 􀀘k 􀀐 􀀕k 􀀡 􀀐􀀜  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \n6) 􀀐􀀕 􀁴 􀀗p 􀀎 􀀙 􀀎 􀀗  \n􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n7) 􀀖􀀓 􀀐 􀀙a 􀀟 􀀐􀀖 (􀀘 􀀎 􀀚a)  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \n8) 􀀖􀀖 􀀎 􀀗x 􀁤 􀀐(x 􀀎 􀀚 )  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙  \n9) 􀀕 (􀀙 􀀎 􀀗n) 􀁴 􀀔􀀕 􀀐 􀀛 n  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \n10) 􀀐􀀘 (􀀕b 􀀎 􀀚 ) 􀀎 b 􀀟 􀀐b 􀀐 􀀔􀀔  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \n11) 􀀐􀀖􀀖 􀀐 n 􀁤 􀀐􀀖 (􀀕n 􀀎 􀀔) 12) 􀀐􀀖 (􀀐􀀚 p 􀀐 􀀙) 􀀐 􀀚 􀀟 p 􀀐 􀀕􀀜  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕 􀀓  \n13) 􀀐x 􀀎 􀀕􀀖 􀀟 􀀕 􀀐 􀀕(x 􀀐 􀀛) 14) 􀀖􀀕 􀀐 􀀘n 􀁴 􀀚 􀀐 􀀘 (n 􀀐 􀀘 )  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n15) 􀀔􀀕 (􀀔􀀓b 􀀐 􀀜) 􀀡 􀀐􀀔􀀕 (􀀜 􀀎 􀀛b) 16) 􀀐􀀕 (k 􀀐 􀀔􀀕) 􀀐 􀀘 (k 􀀎 􀀕) 􀀟 􀀐􀀜k 􀀎 􀀗k  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \n17) 􀀛 (􀀔 􀀎 􀀛x) 􀀎 􀀛 (x 􀀐 􀀔􀀔) 􀀟 􀀐􀀔􀀓x 􀀎 􀀕x  \n􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜  \n18) 􀀐􀀕 (􀀜r 􀀎 􀀖) 􀀐 􀀚r 􀁴 􀀐􀀔􀀓r 􀀐 (􀀔􀀕r 􀀎 􀀜)  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nKuta Software-Infinite Pre-Algebra Solving Multi-Step Inequalities  \nSolve each inequality and graph its solution.  \n1) 􀀐􀀔􀀔 􀁴 􀀙 􀀐 􀀕n 􀀐 􀀘  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \nn 􀁴 􀀙  \nName  Date  Period   \n2) 􀀓 􀀡 􀀐􀀘x 􀀐 􀀙x  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nx 􀀡 􀀓  \n7) 􀀖􀀓 􀀐 􀀙a 􀀟 􀀐􀀖 (􀀘 􀀎 􀀚a)  \n􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘  \na 􀀟 􀀐􀀖  \n8) 􀀖􀀖 􀀎 􀀗x 􀁤 􀀐(x 􀀎 􀀚 )  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙  \nx 􀁤 􀀐􀀛  \n9) 􀀕 (􀀙 􀀎 􀀗n) 􀁴 􀀔􀀕 􀀐 􀀛 n  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \nn 􀁴 􀀓  \n10) 􀀐􀀘 (􀀕b 􀀎 􀀚 ) 􀀎 b 􀀟 􀀐b 􀀐 􀀔􀀔  \n􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖  \nb 􀀡 􀀐􀀖  \n11) 􀀐􀀖􀀖 􀀐 n 􀁤 􀀐􀀖 (􀀕n 􀀎 􀀔)  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \n􀀔􀀓  \nn 􀁤 􀀙  \n12) 􀀐􀀖 (􀀐􀀚 p 􀀐 􀀙) 􀀐 􀀚 􀀟 p 􀀐 􀀕􀀜  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \n􀀐􀀕  \n􀀓  \np 􀀟 􀀐􀀕  \n13) 􀀐x 􀀎 􀀕􀀖 􀀟 􀀕 􀀐 􀀕(x 􀀐 􀀛)  \n􀀐􀀔􀀕  \n􀀐􀀔􀀓  \n􀀐􀀛  \n􀀐􀀙  \n􀀐􀀗  \nx 􀀟 􀀐􀀘  \n14) 􀀖􀀕 􀀐 􀀘n 􀁴 􀀚 􀀐 􀀘 (n 􀀐 􀀘 )  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \n􀀔􀀓  \n􀀔􀀔  \n􀀔􀀕  \nreal numbers. }  \n{ All  \n15) 􀀔􀀕 (􀀔􀀓b 􀀐 􀀜) 􀀡 􀀐􀀔􀀕 (􀀜 􀀎 􀀛b)  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \nb 􀀡 􀀓  \n16) 􀀐􀀕 (k 􀀐 􀀔􀀕) 􀀐 􀀘 (k 􀀎 􀀕) 􀀟  \n􀀐􀀜k 􀀎 􀀗k  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \n􀀔􀀓  \nk 􀀡 􀀚  \n17) 􀀛 (􀀔 􀀎 􀀛x) 􀀎 􀀛 (x 􀀐 􀀔􀀔) 􀀟 􀀐􀀔􀀓x 􀀎 􀀕x  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \n􀀛  \n􀀜  \nx 􀀟 􀀔  \n18) 􀀐􀀕 (􀀜r 􀀎 􀀖) 􀀐 􀀚r 􀁴  \n􀀐􀀔􀀓r 􀀐 (􀀔􀀕r 􀀎 􀀜)  \n􀀐􀀖  \n􀀐􀀕  \n􀀐􀀔  \n􀀓  \n􀀔  \n􀀕  \n􀀖  \n􀀗  \n􀀘  \n􀀙  \n􀀚  \nr 􀁤 􀀔  \nCreate your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCairi1vkm7yamH","https://ap.wps.com/l/cbCairi1vkm7yamH","pdf",45590,"English","# Practice Problems: Multi-Step Inequalities\n## Solve each inequality and graph its solution","[{\"question\":\"What do you have to do for each problem on the worksheet?\",\"answer\":\"Solve each inequality and then graph the solution.\"},{\"question\":\"What topic does the worksheet focus on?\",\"answer\":\"Multi-step inequalities in pre-algebra.\"},{\"question\":\"Which symbols and variables are used in the inequalities?\",\"answer\":\"The problems use inequality symbols (including strict and non-strict forms) and variables such as x, n, k, a, b, p, and r.\"}]","Multi-Step Inequalities - Solve each inequality and graph its solution | PDF",1791426802]