How do you solve |x+2|>7?

May 26, 2016

x is outside $\left[- 9 , 5\right]$.

Explanation:

#|x+2|>7 is the combined inequality for the pair

$x + 2 > 7 \mathmr{and} - \left(x + 2\right) > 7$.

Accordingly, x > 5 and x < -9.

So, x is outside $\left[- 9 , 5\right]$.