Question

Which graph accurately indicates the region, shaded in green, that would determine the solution for the

inequality
|x+7 | -2>0?

Answer 1

B

Explanation:

edg 2020

Answer 2

The region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.

Explanation:

We have a inequality and we have to determine the region in the xy-plane that inequality.

`|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2`

We divide the inequality in two regions:

1) When (x+7)>0, we have:

`x+7>2\\\\x+7-7>2-7\\\\x>-5`

2) When (x+7)<0, we have:

`-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)<9(-1)\\\\x<-9`

Then, the region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.