# How do you solve the inequality #–9(x – 2) < –72#?

##### 1 Answer

S =

#### Explanation:

Now,

*Notice that the direction of inequality has changed because either side was divided by a negative number.*

Double negative equals positive, and

of direction changes because as a rule if a negative number is multiplied or divided to both sides of an inequality the sense of direction changes.

Solution set: S =

This can be checked by substituting any number greater than positive 10 into the original inequality, say 11, and we have

which is true!