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Problems 1 through 24 ask students to determine solution sets for inequalities involving variables such as x, and parameters including p, m, b, n, r, and k. Each item pairs a linear expression with an inequality symbol, then provides a graphing target using interval notation or number line representation. Focus remains on applying two-step algebraic operations while keeping the inequality direction correct and producing the correct boundary and 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is the main task on this worksheet?","Question",{"text":112,"@type":113},"Solve each two-step inequality and graph its solution.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which kinds of variables appear in the problems?",{"text":117,"@type":113},"The worksheet includes x and parameter variables such as p, m, b, n, r, and k.",{"name":119,"@type":110,"acceptedAnswer":120},"How should the inequality solutions be shown?",{"text":121,"@type":113},"Solutions are displayed by graphing each inequality’s solution set on the number 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􀀔􀀖  2)  􀀐 􀀖 􀁤 􀀐􀀙  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \n3) 􀀐􀀖 (p 􀀎 􀀔) 􀁤 􀀐􀀔􀀛 4) 􀀐􀀗 (􀀐􀀗 􀀎 x) 􀀡 􀀘􀀙  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \n5) 􀀐b 􀀐 􀀕 􀀡 􀀛  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \n6) 􀀐􀀗 (􀀖 􀀎 n) 􀀡 􀀐􀀖􀀕  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \n7) 􀀗 􀀎  􀀟 􀀙  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \n9) 􀀐􀀚x 􀀎 􀀚 􀁤 􀀐􀀘􀀙  \n􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \n8) 􀀐􀀖 (r 􀀐 􀀗) 􀁴 􀀓  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \n10) 􀀐􀀖 (p 􀀐 􀀚 ) 􀁴 􀀕􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \n1 1􀀖 􀀕 􀀔 x􀀐􀀔 􀀐 􀀗􀀓 􀀡􀀔 􀀐 􀀔􀀕􀀘 􀀖 􀀗 􀀘 􀀙 􀀚  12) 􀀐􀀜􀀔~~ ~~􀀎􀀘~~ ~~a 􀀡 􀀔  \n􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀕􀀜 􀀖􀀓 􀀖􀀔 􀀖􀀕  \n13) 􀀐􀀔 􀁤 v 􀀐 􀀕  14) 􀀐􀀔􀀖􀀕 􀀡 􀀔􀀕(n 􀀎 􀀜)  \n 􀀕􀀔   􀀐􀀕􀀕 􀀐􀀕􀀓 􀀐􀀔􀀛 􀀐􀀔􀀙 􀀐􀀔􀀗   \n􀀐􀀕􀀙 􀀐􀀕􀀗 􀀐􀀕􀀕 􀀐􀀕􀀓 􀀐􀀔􀀛  \n15) 􀀐􀀔􀀔 􀀎 n 􀀟 􀀐􀀔 16) 􀀐􀀜􀀓 􀁴 􀀐􀀘 (k 􀀐 􀀖)  \n 􀀔􀀘  􀀔􀀖 􀀔􀀗 􀀔􀀘 􀀔􀀙 􀀔􀀚 􀀔􀀛 􀀔􀀜 􀀕􀀓 􀀕􀀔 􀀕􀀕 􀀕􀀖   \n􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔  \n17) 􀀗 􀀟 􀀔 􀀎 n􀀚~~ ~~ 18) 􀀐􀀔 􀀡 ~~ ~~􀀔􀀕~~ ~~~~ ~~x~~ ~~  \n􀀔􀀛 􀀔􀀜 􀀕􀀓 􀀕􀀔 􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀐􀀕􀀓 􀀐􀀔􀀛 􀀐􀀔􀀙 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓  \n19) 􀀚n 􀀐 􀀔 􀀡 􀀐􀀔􀀙􀀜 20) 􀀐􀀗b 􀀐 􀀘 􀀡 􀀐􀀕􀀘  \n􀀐􀀕􀀙 􀀐􀀕􀀗 􀀐􀀕􀀕 􀀐􀀕􀀓 􀀐􀀔􀀛 􀀐􀀔􀀙 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜  \n2 1􀀛 􀀛 􀁴􀀐v  􀀜􀀐 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  22) 􀀐􀀛􀀕􀀎~~ ~~r 􀀡 􀀐􀀛  \n23)  􀀐 􀀛 􀁤 􀀐􀀔􀀕  \n􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀕􀀜 􀀖􀀓 􀀖􀀔 􀀖􀀕  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \n24) m~~ ~~􀀐~~ ~~􀀖􀀕~~ ~~ 􀁤 􀀘  \n􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \nKuta Software-Infinite Algebra 1 Name   \nTwo-Step Inequalities Date  Period   \nSolve each inequality and graph its solution.  \n1) 􀀕x 􀀎 􀀗 􀁴 􀀕􀀗  \n􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖  \nx 􀁴 􀀔􀀓  \n2)  􀀐 􀀖 􀁤 􀀐􀀙  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \nm 􀁤 􀀐􀀜  \n3) 􀀐􀀖 (p 􀀎 􀀔) 􀁤 􀀐􀀔􀀛  \n􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓  \np 􀁴 􀀘  \n5) 􀀐b 􀀐 􀀕 􀀡 􀀛  \n􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗 􀀐􀀕  \nb 􀀟 􀀐􀀔􀀓  \n7) 􀀗 􀀎  􀀟 􀀙  \n􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛  \nn 􀀟 􀀙  \n9) 􀀐􀀚x 􀀎 􀀚 􀁤 􀀐􀀘􀀙  \n􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕  \nx 􀁴 􀀜  \n4) 􀀐􀀗 (􀀐􀀗 􀀎 x) 􀀡 􀀘􀀙  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \nx 􀀟 􀀐􀀔􀀓  \n6) 􀀐􀀗 (􀀖 􀀎 n) 􀀡 􀀐􀀖􀀕  \n􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔  \nn 􀀟 􀀘  \n8) 􀀐􀀖 (r 􀀐 􀀗) 􀁴 􀀓  \n􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙  \nr 􀁤 􀀗  \n10) 􀀐􀀖 (p 􀀐 􀀚 ) 􀁴 􀀕􀀔  \n􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗  \np 􀁤 􀀓  \n11) 􀀐􀀔􀀔 x 􀀐 􀀗 􀀡 􀀐􀀔􀀘  \n􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚  \nx 􀀟 􀀔  \n12) 􀀐􀀜􀀔~~ ~~􀀎􀀘~~ ~~a 􀀡 􀀔  \n􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀕􀀜 􀀖􀀓 􀀖􀀔 􀀖􀀕  \na 􀀡 􀀕􀀗  \n13) 􀀐􀀔 􀁤 v 􀀐 􀀕  14) 􀀐􀀔􀀖􀀕 􀀡 􀀔􀀕(n 􀀎 􀀜)  \n􀀕􀀔  􀀐􀀕􀀕  􀀐􀀕􀀓  􀀐􀀔􀀛  􀀐􀀔􀀙  􀀐􀀔􀀗   \n 􀀐􀀕􀀙  􀀐􀀕􀀗  􀀐􀀕􀀕  􀀐􀀕􀀓  􀀐􀀔􀀛  n 􀀟 􀀐􀀕􀀓 v 􀁴 􀀐􀀔􀀜  \n15) 􀀐􀀔~~ ~~􀀔􀀔~~ ~~􀀘􀀎~~ ~~n 􀀟 􀀐􀀔  16)􀀔􀀖 􀀐􀀔􀀜􀀗 􀀓 􀀔􀁴􀀘 􀀘􀀙 (k􀀔􀀚 􀀐 􀀔 􀀖􀀛 ) 􀀔􀀜 􀀕􀀓 􀀕􀀔 􀀕􀀕 􀀕􀀖  􀀐􀀜 􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 k 􀁴 􀀕􀀔  \nn 􀀟 􀀐􀀗  \n17) 􀀗 􀀟 􀀔 􀀎 n􀀚~~ ~~ 18) 􀀐􀀔 􀀡 ~~ ~~􀀔􀀕~~ ~~~~ ~~x~~ ~~  \n􀀔􀀛 􀀔􀀜 􀀕􀀓 􀀕􀀔 􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀐􀀕􀀓 􀀐􀀔􀀛 􀀐􀀔􀀙 􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓  \nn 􀀡 􀀕􀀔 x 􀀟 􀀐􀀔􀀙  \n19) 􀀚n 􀀐 􀀔 􀀡 􀀐􀀔􀀙􀀜 20) 􀀐􀀗b 􀀐 􀀘 􀀡 􀀐􀀕􀀘  \n􀀐􀀕􀀙 􀀐􀀕􀀗 􀀐􀀕􀀕 􀀐􀀕􀀓 􀀐􀀔􀀛 􀀐􀀔􀀙 􀀐􀀔 􀀓 􀀔 􀀕 􀀖 􀀗 􀀘 􀀙 􀀚 􀀛 􀀜  \nn 􀀡 􀀐􀀕􀀗 b 􀀟 􀀘  \n21) 􀀛􀀗 􀁴 􀀐􀀚 (v 􀀐 􀀜)  \n􀀐􀀛 􀀐􀀚 􀀐􀀙 􀀐􀀘 􀀐􀀗 􀀐􀀖 􀀐􀀕 􀀐􀀔 􀀓 􀀔 􀀕  \nv 􀁴 􀀐􀀖  \n23)  􀀐 􀀛 􀁤 􀀐􀀔􀀕  \n􀀕􀀕 􀀕􀀖 􀀕􀀗 􀀕􀀘 􀀕􀀙 􀀕􀀚 􀀕􀀛 􀀕􀀜 􀀖􀀓 􀀖􀀔 􀀖􀀕  \nx 􀁴 􀀕􀀗  \n22) 􀀐􀀛􀀕􀀎~~ ~~r 􀀡 􀀐􀀛  \n􀀐􀀔􀀗 􀀐􀀔􀀕 􀀐􀀔􀀓 􀀐􀀛 􀀐􀀙 􀀐􀀗  \nr 􀀡 􀀐􀀛  \n24) m~~ ~~􀀐~~ ~~􀀖􀀕~~ ~~ 􀁤 􀀘  \n􀀘 􀀙 􀀚 􀀛 􀀜 􀀔􀀓 􀀔􀀔 􀀔􀀕 􀀔􀀖 􀀔􀀗 􀀔􀀘  \nm 􀁤 􀀔􀀖  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCainlMyXVcEre0","https://ap.wps.com/l/cbCainlMyXVcEre0","pdf",49534,"English","# Solve and Graph the Inequalities\n## Problems 1-24","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"Solve each two-step inequality and graph its solution.\"},{\"question\":\"Which kinds of variables appear in the problems?\",\"answer\":\"The worksheet includes x and parameter variables such as p, m, b, n, r, and k.\"},{\"question\":\"How should the inequality solutions be shown?\",\"answer\":\"Solutions are displayed by graphing each inequality’s solution set on the number line.\"}]","Two-Step Inequalities - Solve each inequality and graph its solution | PDF",1791425920]