If A = (0, 2] and B = [2, 4), what is A ∪ B?
Answer and explanation
Correct answer: (0, 4)
A contains numbers greater than 0 and up to and including 2. B contains numbers from 2 inclusive up to, but not including, 4. Because 2 is included in both intervals, there is no gap between them. Their union therefore contains every real number greater than 0 and less than 4. The endpoints 0 and 4 are excluded, so the result is (0, 4).
Frequently asked questions
What is the correct answer to this question?
(0, 4)
Why is this the correct answer?
A contains numbers greater than 0 and up to and including 2. B contains numbers from 2 inclusive up to, but not including, 4. Because 2 is included in both intervals, there is no gap between them. Their union therefore contains every real number greater than 0 and less than 4. The endpoints 0 and 4 are excluded, so the result is (0, 4).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Continuity and Differentiability. Topic: Exponential functions.
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