Question

Which compound inequality can be used to solve the inequality 13x+2/> 7

Answer 1

(3x + 2) < -7 or (3x + 2 >7

Explanation/Step by step:

We have| |3x +2| >7

We divide the absolute value inequality into two inequalities

First Inequality (Which is Positive Value)
(3x + 2) >7

Second inequality (Which is the Negative Value)
-(3x + 2) >7

Then you Multiply by- 1 both sides

~And Remember that when you multiply or divide both sides of an inequality by a negative number you must reverse the inequality Symbol.~

So which that be said it would look like this:
(3x +2) < -7

So therefore (3x + 2) < -7 or (3x + 2) >7

Hope this makes since to you!!
I hope this helps as well..