# How do you solve the inequality #-5q+9>24#?

##### 3 Answers

See a solution process below:

#### Explanation:

First, subtract

Next, divide each side of the inequality by

#### Explanation:

Solving an inequality is almost exactly like solving an equality, and for the most part you can treat it as such while solving it, except for one additional rule: whenever you multiply or divide both sides of an inequality by a negative number, you ** must** flip the inequality sign. For example,

The reason this rule arises is because of how the number line works. Observe that on the standard number line, numbers go smallest (

Now we solve your inequality:

First we subtract

Now we divide both sides by

#### Explanation:

#"isolate "-5q" by subtracting 9 from both sides"#

#rArr-5q> 24-9#

#rArr-5q> 15#

#"divide both sides by "-5#

#color(blue)"remember to reverse the sign as a consequence"#

#rArrq< -3#