Math
Compound inequalities.
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
Real-world.
- 1 'x > 2 and x < 7' means 2 < x < 7
- 2 'x < -1 or x > 3' represents two separate intervals on the number line
- 3 A healthy body temperature is between 97°F and 99°F: 97 ≤ T ≤ 99
Key Fact
'And' = intersection (∩), 'Or' = union (∪)