If A = {1, 2, 3} and B = {2, 3, 4}, which set is equal to A ∩ B?
Answer and explanation
Correct answer: {2, 3}
The intersection A ∩ B consists of all elements that occur in both A and B. The elements 2 and 3 are common to the two sets, while 1 occurs only in A and 4 occurs only in B. Therefore A ∩ B = {2, 3}. Hence option A is correct. The intersection is not the union, so elements occurring in only one set must not be included.
Frequently asked questions
What is the correct answer to this question?
{2, 3}
Why is this the correct answer?
The intersection A ∩ B consists of all elements that occur in both A and B. The elements 2 and 3 are common to the two sets, while 1 occurs only in A and 4 occurs only in B. Therefore A ∩ B = {2, 3}. Hence option A is correct. The intersection is not the union, so elements occurring in only one set must not be included.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
