absolute value inequalities graph the absolute value function then shade above or below solid...
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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
DASHED line
Shade BELOW
slope = 1 Vertex = (2, 3)
2) Absolute Value Inequalities
Example 1:Graph y < |x – 2| + 3
DASHED line
Shade BELOW
slope = 1 Vertex = (2, 3)
2) Absolute Value Inequalities
Example 1:Graph y < |x – 2| + 3
DASHED line
Shade BELOW
slope = 1 Vertex = (2, 3)
2) Absolute Value Inequalities
Example 1:Graph y < |x – 2| + 3
DASHED line
Shade BELOW
slope = 1 Vertex = (2, 3)
2) Absolute Value Inequalities
Example 1:Graph y < |x – 2| + 3
DASHED line
Shade BELOW
slope = 1 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
Vertex = (-2, 1)Slope = 2Solid line
Shade above
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.