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Understanding Graphing Linear Inequalities: A Step-by-Step Guide

This lesson focuses on graphing linear inequalities, emphasizing the determination of the boundary line and shading the appropriate region. Learn to distinguish between dashed lines (not including boundary points) and solid lines (including boundary points). By testing easy points (like (0,0)), students can identify where to shade. This guide includes examples and exercises to practice identifying the inequalities based on the given graphs, reinforcing concepts such as slope and y-intercept. Perfect for foundational algebra understanding!

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Understanding Graphing Linear Inequalities: A Step-by-Step Guide

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  1. 8-8: Exploring Inequalities Foundations for Algebra Mr. Gallo

  2. To Graph a Linear Inequality: • Determine the boundary line: Dashed: Points on the line are included. Solid: Points on the line included. • Test a point to see where the graph should be shaded: • Shade the area of the inequality that is represented by the equation: not are Use an easy point not on the boundary line like (0,0).

  3. Example 1: Graph each linear inequality using the steps outlined above: (0,0) (0,0)

  4. Example 1: Graph each linear inequality using the steps outlined above: (0,0) (0,0)

  5. Example 2: Give the inequality for each graph below. Slope =_________ y-intercept =_________ Inequality =______________

  6. Example 2: Give the inequality for each graph below. Inequality =______________

  7. Homework: Reteach 8-8

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