### Home > CCA2 > Chapter 3 > Lesson 3.2.2 > Problem 3-81

3-81.

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

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

*x*to both sides.Divide both sides by

.

Did you remember to reverse the inequality sign?