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

1 Answer
Feb 2, 2018

Answer:

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]}