If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, find A ∩ B.
Answer and explanation
Correct answer: {2, 4}
The intersection A ∩ B contains only those elements that are present in both A and B. Checking the elements of A, 2 occurs in B and 4 also occurs in B, whereas 6 and 8 do not. Therefore, the common-element set is A ∩ B = {2, 4}. The other options represent unrelated combinations or an empty intersection.
Frequently asked questions
What is the correct answer to this question?
{2, 4}
Why is this the correct answer?
The intersection A ∩ B contains only those elements that are present in both A and B. Checking the elements of A, 2 occurs in B and 4 also occurs in B, whereas 6 and 8 do not. Therefore, the common-element set is A ∩ B = {2, 4}. The other options represent unrelated combinations or an empty intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
