If A = {p, q} and B = {p, q, r}, what is A ∩ B?
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Answer and explanation
Correct answer: {p, q}
The intersection A ∩ B consists only of elements common to both A and B. The elements p and q occur in A and also occur in B, while r occurs only in B. Hence A ∩ B = {p, q}. Because A is a subset of B, the intersection of the two sets is the smaller set A.
Frequently asked questions
What is the correct answer to this question?
{p, q}
Why is this the correct answer?
The intersection A ∩ B consists only of elements common to both A and B. The elements p and q occur in A and also occur in B, while r occurs only in B. Hence A ∩ B = {p, q}. Because A is a subset of B, the intersection of the two sets is the smaller set A.
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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