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Graphing Inequalities: Step-by-Step Guide

Learn how to graph equations and inequalities efficiently. Understand the process of plotting points, deciding line type, shading direction, and testing points. Video example included.

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Graphing Inequalities: Step-by-Step Guide

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  1. Graphing Inequalities Unit 11, Day 1

  2. How to Graph an Equation: • Start at the y-intercept on the y-axis • Count “up and over” using the slope to create a second point (and a third, fourth, etc.) • Connect the points and add arrows to create the line y = -2x + 5

  3. Graphing an Inequality • Graphing an inequality is the same as graphing an equation, with 2 little extra steps at the end: • Decide if the line is dashed or solid • Dashed for < and > • Solid for  and  • Decide in which direction to shade • Test the point (0,0) into the inequality

  4. How to Graph an Equation: • Plot the points using slope and y-intercept. • Is this a dashed line or a solid line? • Test the point (0,0). y < -2x + 5 True or False?

  5. Video Example: Graphing Inequalities

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