# How do you solve the inequality 3x + 8> 2?

Jun 2, 2016

$x > - 2$

#### Explanation:

Treat inequalities in the same way as you do equations, except:

If you multiply or divide by a negative number, the inequality sign changes around.

If you have a fraction on each side,do not cross-multiply, but multiply through by the LCM of the denominators.

$3 x + 8 > 2 \text{ } \Rightarrow 3 x > 2 - 8$

$\text{ "3x > -6 rArr " now divide both sides by 3}$

$\text{ } x > - 2$