Absolute Value Inequalities

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Presentation transcript:

Absolute Value Inequalities Graph the absolute value function then shade above OR below Solid line…y <, y> Dashed line…y<, y> Shade above y>, y> Shade below…y<, y<

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 slope = 1 DASHED line Shade BELOW Vertex = (2, 3)

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 slope = 1 DASHED line Shade BELOW Vertex = (2, 3)

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 slope = 1 DASHED line Shade BELOW Vertex = (2, 3)

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 slope = 1 DASHED line Shade BELOW Vertex = (2, 3)

2) Absolute Value Inequalities Example 1: Graph y < |x – 2| + 3 slope = 1 DASHED line Shade BELOW Vertex = (2, 3)

2) Absolute Value Inequalities Example 2: Graph –y + 1 < -2|x + 2|

2) Absolute Value Inequalities Example 2: Graph –y + 1 < -2|x + 2| -y < -2|x + 2| - 1 y > 2|x + 2| + 1 -y so CHANGE the direction of the inequality

2) Absolute Value Inequalities y > 2|x + 2| + 1

2) Absolute Value Inequalities y > 2|x + 2| + 1 Slope = 2 Solid line Shade above Vertex = (-2, 1)

2) Absolute Value Inequalities y > 2|x + 2| + 1

2) Absolute Value Inequalities y > 2|x + 2| + 1

2) Absolute Value Inequalities y > 2|x + 2| + 1

2) Absolute Value Inequalities y > 2|x + 2| + 1

2) Absolute Value Inequalities Example 3: Write an equation for the graph below.