If A = [−3, 2] and B = [0, 5], what is A ∪ B?
Answer and explanation
Correct answer: [−3, 5]
The union contains every number that belongs to A or B or to both. The intervals overlap from 0 to 2, so there is no gap between them. The smallest included endpoint is −3 and the largest included endpoint is 5; both are closed because both original intervals include their endpoints. Therefore A ∪ B = [−3, 5].
Frequently asked questions
What is the correct answer to this question?
[−3, 5]
Why is this the correct answer?
The union contains every number that belongs to A or B or to both. The intervals overlap from 0 to 2, so there is no gap between them. The smallest included endpoint is −3 and the largest included endpoint is 5; both are closed because both original intervals include their endpoints. Therefore A ∪ B = [−3, 5].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
