### Home > AC > Chapter 10 > Lesson 10.1.1 > Problem 10-9

10-9.

Solve each of the following inequalities for the given variable. Represent your solutions on a number line.

When you divide both sides of an inequality by a negative number,

it reverses or 'flips' the sign. Here is an example of why that works:true statement

multiply both sides by

statement is no longer true

reverse the inequality sign to make it true

This also works with division by a negative number.Add

to both sides.Divide both sides by

.

Did you remember to reverse the inequality sign?