If A = {a, b, d, f, h} and B = {b, c, d, g, h}, what is A ∩ B?
Answer and explanation
Correct answer: {b, d, h}
The intersection of two sets contains exactly the elements that occur in both sets. Comparing the elements one by one, b appears in A and B, d appears in A and B, and h appears in A and B. The elements a and f occur only in A, while c and g occur only in B. Therefore, A ∩ B = {b, d, h}, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
{b, d, h}
Why is this the correct answer?
The intersection of two sets contains exactly the elements that occur in both sets. Comparing the elements one by one, b appears in A and B, d appears in A and B, and h appears in A and B. The elements a and f occur only in A, while c and g occur only in B. Therefore, A ∩ B = {b, d, h}, so option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
