Answer:

Step-by-step explanation:
We have the inequality:

First, we can factor out a 5 from our absolute value. This yields:

Simplify:

Add 14 to both sides:

Divide both sides by 2:

Definition of Absolute Value:

Solve each case individually:
Case 1:

Subtract 2 from both sides:

Case 2:

Divide both sides by -1. Flip the sign:

Subtract 2 from both sides:

So, our answers are:

Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:

And we're done!