## Objective:

**To solve and graph inequalities in one variable.**

## Vocabulary:

**Inequality**- similar to an equation but instead of an*=*it has*<*,*>*,*≤*, or*≥*.**Open circle**- a circle that is*not*filled in.**Closed circle**- a circle that*is*filled in.

## Notes:

Solving*inequalities:*

- Just like solving
*equations*except- When you multiply or divide by a
*negative*number you must*switch*the inequality symbol (greater than switches to less than and vice versa).

- When you multiply or divide by a

*inequalities*:

- Just like graphing equations except
- Use an open circle for
*<*and*>*(not equal). - Use a closed circle to for
*≤*and*≥*.

- Use an open circle for

## Examples:

### Solve:

Solve and graph each inequality.- x + 8 < 15

- 5x − 3 > 7

- 13 − 7x ≤ −8

- 3x > 11x + 4