Question

Solve and graph the absolute value inequality: |2x + 4| > 14. number line with open circles on negative 9 and 5, shading going in the opposite directions. number line with open circles on negative 9 and 5, shading in between. number line with closed circles on negative 9 and 5, shading going in the opposite directions. a number line with open circles on negative 5 and 5, shading going in the opposite directions.

Answer 1

|2x + 4| > 14

⇒ 2x + 4 > 14 or 2x + 4 < -14

⇒ 2x > 14 - 4 or 2x < -14 - 4

⇒ 2x > 10 or 2x < -18

⇒ x > 5 or x < -9

The graph will be a number line with open circles on negative 9 and 5, shading going in the opposite directions.