Objective:
To solve and graph compound inequalities.
Vocabulary:
- Inequality - similar to an equation but instead of an = it has <, >, ≤, or ≥.
- Compound Inequality - a combination of two or more inequalities. They are connected by the words 'and' or '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).
Graphing
inequalities:
- Just like graphing equations except
- Use an open circle for < and > (not equal).
- Use a closed circle to for ≤ and ≥.
Examples:
Solve:
Solve and graph each inequality.
- −9 ≤ 6x + 3 ≤ 39
- 8 + 2x < 6 or 3x − 2 > 13
