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<
Dec 23, 2015
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.