**Definition of Addition Property of Equality and Inequality**

**Addition Property of Equality:**

If the same number is added to both sides of an equation, the two sides remain equal. That is,

if*x*=*y*, then*x*+*z = y + z.*

**Addition Property of Inequality:**

Adding the same number to both sides of an inequality does not affect the inequality. That is,

if*x > y*, then*x + z > y + z*and**,**

if*x <>*, then*x + z < y="" +="">*.

**Examples of Addition Property of Equality and Inequality**

**Addition Property of Equality**

a) 3 = 3

Add the same number to both sides.

3 + 2 = 3 + 2. It’s true.**Addition Property of Inequality**

a) 2 <>

Add the same number to both sides.

2 + 1 < 3="" +="">

i.e. 3 < 4.="" it’s="" true.="">

**Solved Example on Addition Property of Equality and Inequality**

- Solve for

A. 7

B. 17

C. - 7

D. 2.4

**Related Terms for Addition Property of Equality and Inequality**

- Equality
- Inequality
- Equation