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Math 113
Compound Inequalities
| Question | Answer |
|---|---|
| Compound Inequalities | Two inequalities joined by the words AND or OR. |
| Intersection | The solution set of a compound inequality formed by the word AND. |
| Union | The solution set of a compound inequality formed by the word OR. |
| Two inequalities joined by the words "and" or "or" are called __________ __________ . | compound inequalities |
| The word __________ means intersection. | and |
| The word __________ means union. | or |
| The symbol __________ represents intersection. | ∩ |
| The symbol __________ represents union. | U |
| The symbol __________ is the empty set. | Ø |
| Find A ∩ B, if A = {x|x is an odd number greater than 0 and less than 10} and B = {1, 2, 3, 4} | {1, 3} |
| Solve in compound form: x + 3 < 8 and 2x - 1 < 3 | 2 ≤ x and x 5 ≤ |
| Solve in compact form: x + 3 < 8 and 2x - 1 < 3 | 2 ≤ x ≤ 5 |
| Solve in interval notation: x + 3 < 8 and 2x - 1 < 3 | [2, 5] |
| Solve in interval notation: 3 < 5 < - x < 9 | (-4, 2) |
| Solve in interval notation: -4 ≤ x/2 - 1 ≤ 3 | (-3,4) |
| Solve in interval notation: -4 ≤ x/2 - 1 ≤ 3 | [-3, 4] |
| Solve: 8x + 5 ≤ 3 or x - 1 ≥ 2 | (-∞, 3/8] U [3, ∞) |
Created by:
grimaldi
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