If A = {2, 4, 6} and B = {6, 8, 10}, which element must belong to A ∪ B?
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Answer and explanation
Correct answer: 8
The union A ∪ B contains every distinct element that belongs to A or to B, including elements common to both. Here A ∪ B = {2, 4, 6, 8, 10}. Among the choices, 8 is a member of B, so it must be included in the union. The other numbers, 3, 12, and 1, belong to neither set. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The union A ∪ B contains every distinct element that belongs to A or to B, including elements common to both. Here A ∪ B = {2, 4, 6, 8, 10}. Among the choices, 8 is a member of B, so it must be included in the union. The other numbers, 3, 12, and 1, belong to neither set. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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