Question

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

Answer 1

All values for `x` are valid.

Explanation:

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

`7|x+2|> -1`

`|x+2|> -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]}