If A = (1, 2) and B = (3, 4), how should A ∪ B be written?
Answer and explanation
Correct answer: (1, 2) ∪ (3, 4)
The union includes all elements from both sets, but it does not include numbers in the gap between 2 and 3. Since the intervals are disjoint, they cannot be combined into the single interval (1, 4), which would incorrectly include the gap. Therefore the union must remain written as (1, 2) ∪ (3, 4).
Frequently asked questions
What is the correct answer to this question?
(1, 2) ∪ (3, 4)
Why is this the correct answer?
The union includes all elements from both sets, but it does not include numbers in the gap between 2 and 3. Since the intervals are disjoint, they cannot be combined into the single interval (1, 4), which would incorrectly include the gap. Therefore the union must remain written as (1, 2) ∪ (3, 4).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
