Absolute Value Inequalities and Graphs

Identify the absolute value inequality that would generate the given graph.

Identify the inequality with a solution represented by the given graph.

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Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7

• p ≤ -13 or p ≥ 7

• -7 ≤ p ≤ 13

• p ≤ -7 or p ≥ 13

Which graph matches the inequality?

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What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

Which interval notation is represented by the graph?

What is the range of the following graph?

The absolute value graph below contains

• a max

• a min

• both

• neither

What is the vertex of the following Absolute Value graph?

• y = 0

• (0,0)

• x=0

• (-1,0)