# How do you solve 7n - 1 < 3n + 5?

May 15, 2015

First add 1 to both sides to get:

$7 n < 3 n + 6$

Subtract $3 n$ from both sides to get

$4 n < 6$

Divide both sides by 4 to get

$n < \frac{6}{4} = \frac{3}{2}$

The solution is $n < \frac{3}{2}$.

With inequalities you can perform any of the following while preserving the truth of the inequality:

(1) Add or subtract the same value on both sides.
(2) Multiply or divide both sides by the same positive value.
(3) Multiply or divide both sides by the same negative value and reverse the inequality.