Solve and graph the absolute value inequality 2x 4 14

Asked by maham237 @ 17/07/2021 in Mathematics viewed by 296 People

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.

Answered by maham237 @ 17/07/2021

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.

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