# How do you solve the inequality #8 − 2x < 4#?

##### 1 Answer

Sep 8, 2015

#### Explanation:

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**

Given the above rules:

subtract

divide both sides by