Compound inequality

Definition

A compound inequality combines two or more simple inequalities joined by 'and' or 'or'. It is used to represent a range of values that satisfy multiple conditions simultaneously.

5 Must Know Facts For Your Next Test

1. A compound inequality involving 'and' (conjunction) represents the intersection of the solution sets.
2. A compound inequality involving 'or' (disjunction) represents the union of the solution sets.
3. The solution to a compound inequality can be expressed in interval notation.
4. When solving compound inequalities, it is important to maintain the direction of the inequality signs when adding or subtracting terms from both sides.
5. Graphing a compound inequality on a number line helps visualize the solution set.

Review Questions

• What does a compound inequality involving 'and' represent?
• How do you graphically represent the solution set of a compound inequality?
• What steps must you follow to solve a compound inequality?

Related terms

Simple Inequality: An expression that shows the relationship between two values where one is not equal to, greater than, or less than the other.

Interval Notation: A way of writing subsets of the real number line using intervals.

Absolute Value Inequality: An inequality that contains an absolute value expression and defines a range based on distance from zero.