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Graphing Inequalities Graphing Inequalities If you can graph a straight line, you can graph an inequality. To graph an inequality, we have to start by graphing the corresponding straight line. Then there are 2 steps: 1. Type of Line 2. Direction of Shading Example 1: Graph the Equation y = 3x – 1 Steps for Graphing an Inequalities Solve the equation for “y” (if necessary). 2. Graph the equation as if it contains an = sign. LINE Draw the line SOLID if the inequality is < or >. Draw the line DASHED if the inequality is < or >. SHADING Shade ABOVE the line if the inequality is > or >. Shade BELOW the line if the inequality if < or <. 1. Graph the Inequalities y < 3x – 1 y < 3x – 1 Graph the Inequalities y > 3x – 1 y > 3x – 1 Example 2: Graph the Inequality y < 2x + 3 Example 3: Graph the Inequality y > 2/3x- 2 What is the inequality is not in slope intercept form? If the inequality is not in slope-intercept form, solve for y. Then graph like normal! 1. 2x + 3y > 6 2. 5x – 4y > 8 3y > -2x + 6 -4y > -5x + 8 y > -2/3x + 2 y < 5/4x - 2 What happens when you multiply or divide by a negative? INEQUALITY FLIPS Example 4: Graph the Inequality 2x < -2y + 4 2x + 2y < 4 2y < -2x + 4 y < -1x + 2 Example 5: Graph the Inequality 𝑥 ≤ −1