# How do you solve the inequality  27x + 33 > 58x - 29?

Sep 1, 2016

$x < 2$

#### Explanation:

Treat an inequality in the same way as an equation, unless you multiply or divide by a negative number, in which case the inequality sign will change around.

$27 x + 33 > 58 x - 29$

$33 + 29 > 58 x - 27 x$

$62 > 31 x \text{ } \leftarrow \div 31$

$2 > x$

This is the same as $x < 2$