# How do you solve the inequality #-2x + 3 >7#?

##### 1 Answer

Dec 3, 2015

#### Explanation:

To solve a linear inequality, you can mostly behave the same way as you do when solving linear equations, with two important equations:

- each time you multiply both sides with a negative number or if you divide both sides by a negative number, you need to "turn" the greater/less sign, so, transform
#<# into#># and vice versa - if you flip the sides of the equation, you also need to "turn" the greater/less sign.

With this knowledge, you can solve the inequality as follows:

... add

... divide by

So, the solution is