[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-359234-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-359234-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","graphing-solutions-to-inequalities-b","Graphing Solutions to Inequalities - B","","This educational worksheet from Mashup Math LLC provides K-12 students with practice in graphing inequalities on a number line. The document outlines essential inequality symbols, including greater than, less than, greater than or equal to, and less than or equal to, alongside their corresponding open or closed circle representations. The content includes a series of direct graphing exercises, problems requiring algebraic solving before graphing, and a multi-part challenge problem involving a real-world scenario. It serves as a comprehensive resource for students to master the foundational concepts of linear inequalities and their graphical interpretations in a structured, step-by-step format suitable for classroom or independent 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do you represent 'greater than or equal to' on a number line?","Question",{"text":63,"@type":64},"You use a closed circle (●) at the specified point to indicate that the value is included in the solution set.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the first step when solving problems 8 through 10?",{"text":68,"@type":64},"You must first solve the algebraic inequality to find the variable's value, and then proceed to graph the resulting solution on the number line.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the inequality requirement for the summer camp challenge problem?",{"text":72,"@type":64},"The requirement is to complete at least 5 activities per day, represented by the inequality 2 + n ≥ 5, where n is the number of additional activities needed.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},359234,1790307115,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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\u003Cbr>\u003C less than ○  \u003Cbr>≥ greater than or equal to ●≤ less than or equal to ●   | Examples:  \u003Cbr>Example A: x \u003C 3  \u003Cbr>Example B: x ≥ 2   | \u003Cbr>|\n| --- | --- | --- |\n\nDirections: Graph each inequality on the number line. For problems 8–10, solve the inequality first, then graph.  \n1. Graph: x > 2  \n2. Graph: n ≤ 9  \n3. Graph: y ≥ 7  \n4. Graph: m \u003C 5  \n5. Graph: x ≥ 4  \n6. Graph: a \u003C 11  \n7. Graph: n ≤ 6  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \nSolve First, Then Graph  \n8. x + 5 > 12  \nSolution:    \nGraph:   \n9. 3n ≤ 18  \nSolution:  \n_______________________  \nGraph:   \n10. y − 3 ≥ 4  \nSolution: _______________________  \nGraph:   \n# 11. Challenge Problem\n\nA summer camp requires campers to complete at least 5 activities per day. A camper has completed 2 andneeds n more.  \na) Write and solve an inequality for n.  \nb) Is n = 2 a solution? Explain.  \nc) Graph all solutions on the number line.  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \nANSWER KEY  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com","cbCairAjMaxz8QBs","https://ap.wps.com/l/cbCairAjMaxz8QBs","pdf",920223,"English","# Inequality Symbols and Concepts\n## Practice Problems\n# Solving and Graphing\n## Multi-step Inequality Problems\n# Challenge Problem\n## Summer Camp Scenario","[{\"question\":\"How do you represent 'greater than or equal to' on a number line?\",\"answer\":\"You use a closed circle (●) at the specified point to indicate that the value is included in the solution set.\"},{\"question\":\"What is the first step when solving problems 8 through 10?\",\"answer\":\"You must first solve the algebraic inequality to find the variable's value, and then proceed to graph the resulting solution on the number line.\"},{\"question\":\"What is the inequality requirement for the summer camp challenge problem?\",\"answer\":\"The requirement is to complete at least 5 activities per day, represented by the inequality 2 + n ≥ 5, where n is the number of additional activities needed.\"}]","Graphing Solutions to Inequalities - B | PDF",1790136489]