If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, which of the following statements is correct?
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Answer and explanation
Correct answer: A − B = {1, 3, 5}
Every element of B is also an element of A, so B is a subset of A. Removing B’s elements 2, 4, and 6 from A leaves A − B = {1, 3, 5}. Also, B − A would be empty, A ∩ B would equal B = {2, 4, 6}, and A ∪ B would equal A, not B. Therefore, only statement A is correct.
Frequently asked questions
What is the correct answer to this question?
A − B = {1, 3, 5}
Why is this the correct answer?
Every element of B is also an element of A, so B is a subset of A. Removing B’s elements 2, 4, and 6 from A leaves A − B = {1, 3, 5}. Also, B − A would be empty, A ∩ B would equal B = {2, 4, 6}, and A ∪ B would equal A, not B. Therefore, only statement 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).
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