If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?
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Answer and explanation
Correct answer: {3, 4}
The intersection A ∩ B consists only of the elements that occur in both sets. Comparing A = {1, 2, 3, 4} with B = {3, 4, 5, 6}, the common elements are 3 and 4. Therefore, A ∩ B = {3, 4}. In a Venn diagram, these elements lie in the overlapping region of A and B.
Frequently asked questions
What is the correct answer to this question?
{3, 4}
Why is this the correct answer?
The intersection A ∩ B consists only of the elements that occur in both sets. Comparing A = {1, 2, 3, 4} with B = {3, 4, 5, 6}, the common elements are 3 and 4. Therefore, A ∩ B = {3, 4}. In a Venn diagram, these elements lie in the overlapping region of A and B.
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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