[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522763-105":59,"doc-detail-522763-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","solving-inequalities-solve-each-inequality-and-graph-its-solution","Solving Inequalities - Solve each inequality and graph its solution","","Infinite Algebra 2 inequalities practice sheet focused on solving linear inequalities and graphing the resulting solution sets. The problems include inequalities with variables x, n, p, k, a, b, m, and r, using different relational operators such as \u003C, >, ≤, and ≥. Students rewrite each inequality into an equivalent form, determine the correct boundary behavior, and represent the solution on number lines. Critical thinking prompts require constructing an inequality with x on both sides and giving a sample solution for a given 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is the main task for each inequality on the worksheet?","Question",{"text":112,"@type":113},"Solve each inequality and graph its solution on the number line, identifying which values satisfy the inequality.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the problems differ in structure?",{"text":117,"@type":113},"They use different variables (x, n, p, k, a, b, m, r), include terms with parentheses, and apply relational operators like \u003C, >, ≤, and ≥.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the critical thinking questions asking for?",{"text":121,"@type":113},"Question 21 asks students to write an inequality with x on both sides that has a specified solution x ≥ 2, and question 22 asks for one particular solution to question #20.","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},522763,1791483059,{"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":44,"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},137451208677,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2  \nSolving Inequalities  \nSolve each inequality and graph its solution.  \n1) 0 > 3x − 3 − 6  \n−2 −1 0 1 2 3 4 5 6 7 8  \nName  Date  Period   \n2) 4x + 1 − 1 ≥ −8  \n−5 −4 −3 −2 −1 0 1  \n3) −1 ≤ 2n + 4 − 5  \n−2 −1 0 1 2 3 4  \n4) −6 > 5n + 5 + 4  \n−7 −6 −5 −4 −3 −2 −1 0 1 2  \n5) 0 ≤ 2n + 3n  \n−5 −4 −3 −2 −1 0 1 2  \n6) 2 p − 4 p ≤ −2  \n−4 −3 −2 −1 0 1 2 3 4 5  \n7) 7 \u003C −(−k − 3) + 2  \n−3 −2 −1 0 1 2 3 4  \n8) 3 − 2(n − 4) > −1  \n3 4 5 6 7 8  \n9) −5( 1 − 4a) > −5  \n−4 −3 −2 −1 0 1 2 3 4  \n10) −2(b + 1) + 4 \u003C 10  \n−8 −7 −6 −5 −4 −3 −2 −1 0 1  \n11) a − 15 > −4(−6 + 3a) 12) 3(6b − 1) > 18 − 3b  \n1 2 3 4 5 −1 0 1 2 3 4 5  \n13) 26 + m ≥ 5(−6 + 3m) 14) 20 − 2 p > −2( p + 2) + 4 p  \n0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9  \n15) x + 1 + 1 + 6x > 3(x − 4) − (x − 4) 16) −6( 1 + 6x) \u003C 6( 1 − 5x)  \n−5 −4 −3 −2 −1 0 1 2 3 −6 −5 −4 −3 −2 −1 0 1 2  \n17) 2( 1 − 4r) \u003C −2(r + 3) − 4 18) −6( 1 + 2x) ≥ 6(2x − 1) + 2x  \n−2 −1 0 1 2 3 4 −2 −1 0 1 2 3 4  \n19) −2( 1 − 5x) > −(x + 1) − 1  \n−5 −4 −3 −2 −1 0 1 2 3 4 5  \n20) 5x − (x + 2) > −5( 1 + x) + 3  \n−3 −2 −1 0 1 2  \nCritical thinking questions:  \n21) Write an inequality with x on both sides whose 22) Name one particular solution to question \\#20 . solution is x ≥ 2  \nKuta Software-Infinite Algebra 2  \nSolving Inequalities  \nSolve each inequality and graph its solution.  \n1) 0 > 3x − 3 − 6  \n−2 −1 0 1 2 3 4 5 6 7 8  \nName  Date  Period   \n2) 4x + 1 − 1 ≥ −8  \n−5 −4 −3 −2 −1 0 1  \n3) −1 ≤ 2n + 4 − 5  \n−2 −1 0 1 2 3 4  \n4) −6 > 5n + 5 + 4  \n−7 −6 −5 −4 −3 −2 −1 0 1 2  \n5) 0 ≤ 2n + 3n  \n−5 −4 −3 −2 −1 0 1 2  \n6) 2 p − 4 p ≤ −2  \n−4 −3 −2 −1 0 1 2 3 4 5  \n7) 7 \u003C −(−k − 3) + 2  \n−3 −2 −1 0 1 2 3 4  \n8) 3 − 2(n − 4) > −1  \n3 4 5 6 7 8  \n9) −5( 1 − 4a) > −5  \n−4 −3 −2 −1 0 1 2 3 4  \n10) −2(b + 1) + 4 \u003C 10  \n−8 −7 −6 −5 −4 −3 −2 −1 0 1  \n11) a − 15 > −4(−6 + 3a) 12) 3(6b − 1) > 18 − 3b  \n1 2 3 4 5 −1 0 1 2 3 4 5  \n13) 26 + m ≥ 5(−6 + 3m) 14) 20 − 2 p > −2( p + 2) + 4 p  \n0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9  \n15) x + 1 + 1 + 6x > 3(x − 4) − (x − 4) 16) −6( 1 + 6x) \u003C 6( 1 − 5x)  \n−5 −4 −3 −2 −1 0 1 2 3 −6 −5 −4 −3 −2 −1 0 1 2  \n17) 2( 1 − 4r) \u003C −2(r + 3) − 4  \n−2 −1 0 1 2 3 4  \n18) −6( 1 + 2x) ≥ 6(2x − 1) + 2x  \n−2 −1 0 1 2 3 4  \n19) −2( 1 − 5x) > −(x + 1) − 1 20) 5x − (x + 2) > −5( 1 + x) + 3  \n−5 −4 −3 −2 −1 0 1 2 3 4 5 −3 −2 −1 0 1 2  \nCritical thinking questions:  \n21) Write an inequality with x on both sides whose solution is x ≥ 2  \nMany answers. Ex: 2x ≥ x + 2  \n22) Name one particular solution to question \\#20 .  \nAny number greater than zero. Ex: 4.7  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaio6W1OesbGJ0","https://ap.wps.com/l/cbCaio6W1OesbGJ0","pdf",41993,"English","# Solve each inequality and graph its solution\n## Practice inequalities (1-20)\n## Critical thinking questions (21-22)","[{\"question\":\"What is the main task for each inequality on the worksheet?\",\"answer\":\"Solve each inequality and graph its solution on the number line, identifying which values satisfy the inequality.\"},{\"question\":\"How do the problems differ in structure?\",\"answer\":\"They use different variables (x, n, p, k, a, b, m, r), include terms with parentheses, and apply relational operators like \\u003c, \\u003e, ≤, and ≥.\"},{\"question\":\"What are the critical thinking questions asking for?\",\"answer\":\"Question 21 asks students to write an inequality with x on both sides that has a specified solution x ≥ 2, and question 22 asks for one particular solution to question #20.\"}]","Solving Inequalities - Solve each inequality and graph its solution | PDF",1791426144]