If U = R, A = [-2, 5) and B = (0, 7], what is (A ∪ B)'?
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Answer and explanation
Correct answer: (-∞, -2) ∪ (7, ∞)
The interval A begins at -2 and includes -2, while B extends through 7 and includes 7. Together, the intervals overlap and form A ∪ B = [-2, 7]. Since the universal set is R, the complement contains real numbers strictly less than -2 or strictly greater than 7. Thus (A ∪ B)' = (-∞, -2) ∪ (7, ∞).
Frequently asked questions
What is the correct answer to this question?
(-∞, -2) ∪ (7, ∞)
Why is this the correct answer?
The interval A begins at -2 and includes -2, while B extends through 7 and includes 7. Together, the intervals overlap and form A ∪ B = [-2, 7]. Since the universal set is R, the complement contains real numbers strictly less than -2 or strictly greater than 7. Thus (A ∪ B)' = (-∞, -2) ∪ (7, ∞).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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