If A = {1, 2, 3, 4, 5} and B = {3, 5, 7}, what is A ∩ B?
Advertisement
Answer and explanation
Correct answer: {3, 5}
The intersection A ∩ B contains exactly the elements that occur in both sets. Comparing the members, 3 appears in A and B, and 5 also appears in A and B. The number 7 occurs only in B, while 1, 2, and 4 occur only in A. Hence A ∩ B = {3, 5}. Option D is the union, not the intersection.
Frequently asked questions
What is the correct answer to this question?
{3, 5}
Why is this the correct answer?
The intersection A ∩ B contains exactly the elements that occur in both sets. Comparing the members, 3 appears in A and B, and 5 also appears in A and B. The number 7 occurs only in B, while 1, 2, and 4 occur only in A. Hence A ∩ B = {3, 5}. Option D is the union, not the 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).
Advertisement