# How do you solve the inequality # x - 3 > 2#?

##### 1 Answer

Sep 10, 2015

#### Explanation:

We can add 3 to each side of an inequality without effecting the validity or orientation of the inequality.

Things you can do with expressions in an inequality which **maintain the inequality orientation**:

- Add the same amount to each expression
- Subtract the same amount from each expression
- Divide each expression by the same amount
**provided the amount is greater than zero** - Multiply each expression by the same amount
**provided the amount is greater than zero**

Things you can do with expressions in an inequality which **reverse the inequality orientation**.

- Divide each expression by the same amount
**when the amount is less than zero** - Multiply each expression by the same amount
**when the amount is less than zero**