# Properties of Inequality

## Opening

# Properties of Inequality

You have been using the addition and multiplication properties of equality to help you solve equations.

**Addition Property of Equality**

You can add any number to both sides of an equation and the result will be a true equation.

**Multiplication Property of Equality**

You can multiply both sides of an equation by any number and the result will be a true equation.

Today you will work with inequalities. For the inequality –3 < 4, discuss what happens when you add or multiply as specified.

- Add 2 to each side.
- Add –2 to each side.
- Multiply each side by 2.
- Multiply each side by –2.