Compound Linear Inequalities

Solve the absolute Value inequality and graph.

• A

• B

• C

• D

Which graph depicts the intervals (-∞, -2] U (5, +∞)

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Which graph matches the inequality?

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• 
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Which interval notation is represented by the graph?

Rewrite the following solutions as an absolute value inequality:

-12 ≤ x ≤ 4

• | x + 4 | ≤ 8

• | x - 4 | ≤ 8

• | x - 8 | ≤ 4

• | x + 8 | ≤ 4

Which graph matches the inequality?

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• 
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BEFORE solving an absolute value inequality, one can tell how the graph should appear based on the symbol. Which symbols would give an "OR" graph solution?

• Less Than / Less Than or Equal To

• Greater Than / Greater Than or Equal To

Write the absolute value inequality represented in the graph.

Select all the correct answers that are possible solutions.

-3(x +2) -3x < 2x + 18

• -1

• -4

• 1

• 0

• -3