If A ⊆ B, what are A ∪ B and A ∩ B, respectively?
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Answer and explanation
Correct answer: B and A
When A ⊆ B, every element of A is already contained in B. Taking the union adds no new element to B, so A ∪ B = B. The elements common to A and B are exactly all elements of A, so A ∩ B = A. Therefore option A gives the two results in the required order; option B reverses them.
Frequently asked questions
What is the correct answer to this question?
B and A
Why is this the correct answer?
When A ⊆ B, every element of A is already contained in B. Taking the union adds no new element to B, so A ∪ B = B. The elements common to A and B are exactly all elements of A, so A ∩ B = A. Therefore option A gives the two results in the required order; option B reverses them.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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