Question

Solve and graph. Your numbers may be exact or rounded to the

nearest tenth.
2<|-7-5x|

Answer 1

We can simplify the inequality to get -1 < x or x < -9/5, and the graph is in the image at the end.

How to solve the inequality?

Here we have the inequality:

2 < |-7 - 5x|

To graph this, first we need to simplify the inequality.

Removing the absolute value we get two inequalities:

2 < -7 - 5x

-2 > -7 - 5x

Solving both for x we get:

1)

2 < -7 - 5x

5x < -7 - 2

x < -9/5

2)

-2 > -7 - 5x

5x > -7 + 2

x > -5/5

x > -1

So we have:

-1 < x or x < -9/5

The graph is in the image below.