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

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

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

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

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

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

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

9. 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

10. 2) Absolute Value Inequalities
y > 2|x |

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

12. 2) Absolute Value Inequalities
y > 2|x |

13. 2) Absolute Value Inequalities
y > 2|x |

14. 2) Absolute Value Inequalities
y > 2|x |

15. 2) Absolute Value Inequalities
y > 2|x |

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