2.8B Graphing Absolute Value Inequalities in the Coordinate Plane

• 1. Find location of the absolute value “V” a I x – h I + k

• 2. Determine if graph is solid or dashed. SOLID: ≤ or ≥ DASHED: < or >

• 3. Determine if the area shaded is above or below the graph. ABOVE: > or ≥ BELOW: < or ≤

Determine if a point is a solution

• Is (x, y) a solution? Put x and y values into original inequality. If result is a TRUE statement, then it is a solution.

• Graph inequality. Is the point in the shaded area? If yes, it is a solution.

Examples: Graph each

• Y > -2 I x – 3 I + 4

• Y ≥ - I x + 3 I – 2

• Y < 3 I x – 1 I – 3

More Examples

• Are the given ordered pairs solutions?• 1.) y ≥ x + a) (-6,8) b) (-3,-3)

• 2.) 0.2x + 0.7y > -1 a) (0.5, -1) b) (-3, -1.5)