Solve and graph the absolute value inequality: |2x + 4| > 14

number line with open circles on _9 and 5, shading going in the opposite directions.

number line with open circles on _9 and 5, shading in between.

number line with closed circles on _9 and 5, shading going in the opposite directions.

a number line with open circles on _5 and 5, shading going in the opposite directions.

Question

Case

Mathematics

8 March, 19:17

Solve and graph the absolute value inequality: |2x + 4| > 14

number line with open circles on _9 and 5, shading going in the opposite directions.

number line with open circles on _9 and 5, shading in between.

number line with closed circles on _9 and 5, shading going in the opposite directions.

a number line with open circles on _5 and 5, shading going in the opposite directions.

+1

Answers (1)

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Amaris Graves · Answer 1

It is very simple, |2x + 4| > 14, we have 2x+4>14 or - (2x+4) >14 (absolute value definition) so 2x> 14-4, x>10/2=5 or - 2x>14+4, - x>18/2=9, implies x< - 9

the solution is x>5, or x< - 9, so the answer is number line with open circles on _9 and 5, shading going in the opposite directions.