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Guide to Graphing Linear Inequalities: Step-by-Step Instructions

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Learn how to graph linear inequalities with this comprehensive guide. Follow easy steps to convert inequalities to slope-intercept form, graph equations, and shade regions accurately. Master the process and understand when to use solid or dashed lines for greater clarity. Practice examples included for better comprehension.

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Guide to Graphing Linear Inequalities: Step-by-Step Instructions

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  1. Linear Inequalities

  2. Steps to Graphing Linear Inequalities 1. Change the inequality into slope-intercept form, y = mx + b. Graph the related equation. 2. If > or < then the line should be dashed. If > or < then the line should be solid. 3. If y > mx+b or y >mx+b, shade the half plane above the line. If y < mx+b or y <mx+b, shade the half plane below the line.

  3. STEP 1 6 STEP 3 4 STEP 2 2 5 Example:

  4. STEP 1 6 4 STEP 3 2 5 Example: STEP 2

  5. Example: STEP 1 STEP 2 STEP 3

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