If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A ∩ (B ∪ C)?
Answer and explanation
Correct answer: {1, 2, 4}
First evaluate the expression inside the parentheses. B ∪ C = {1, 2, 4, 6, 7}, because union collects every distinct element from both sets. Now intersect this result with A = {1, 2, 3, 4, 5}. The common elements are 1, 2, and 4; numbers 6 and 7 are not in A. Hence A ∩ (B ∪ C) = {1, 2, 4}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 4}
Why is this the correct answer?
First evaluate the expression inside the parentheses. B ∪ C = {1, 2, 4, 6, 7}, because union collects every distinct element from both sets. Now intersect this result with A = {1, 2, 3, 4, 5}. The common elements are 1, 2, and 4; numbers 6 and 7 are not in A. Hence A ∩ (B ∪ C) = {1, 2, 4}, so option A 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).
