# How do you solve for x in #3x-5 < x + 9 \le 5x + 13 #?

##### 1 Answer

Oct 31, 2014

By separating into two inequalities,

Let us work on the first inequality.

by subtracting

by adding 5,

by dividing by

Let us work on the second inequality.

by subtracting

by subtracting

by dividing by

By combining the two inequalities, we have

or in interval notation, the solution set is

I hope that this was helpful.