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!