Compound inequalities

Math

Definition

Compound inequalities combine two inequalities joined by 'and' or 'or.' An 'and' compound inequality means both conditions must be true simultaneously (intersection), while an 'or' compound inequality means at least one condition must be true (union).

Examples

  • 'x > 2 and x < 7' means 2 < x < 7
  • 'x < -1 or x > 3' represents two separate intervals on the number line
  • A healthy body temperature is between 97°F and 99°F: 97 ≤ T ≤ 99
Key Fact

'And' = intersection (∩), 'Or' = union (∪)

Related Terms

Solving inequalities Graphing inequalities Absolute value equations

Study This Concept

Practice compound inequalities with free review games in these units:

Algebra 2 Unit 1: Equations and Inequalities