# How do you graph and solve 7|x+2| +5 >4?

Feb 2, 2018

All values for $x$ are valid.

#### Explanation:

$7 | x + 2 | + 5 > 4$

$7 | x + 2 | > - 1$

$| x + 2 | > - \frac{1}{7}$

Absolute values are always greater than negative numbers, so that means any value of $x$ fits for this inequality.

Since any $x$ works for the inequality, the graph should be fully filled in. Here's what it looks like:

graph{x> -100000000000000000 [-10, 10, -5.21, 5.21]}