If A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ {1, 2, 3, 4}}, which relation is correct?
Answer and explanation
Correct answer: A = B
To list B, substitute the allowed values n = 1, 2, 3, and 4 into x = 2n. This gives x = 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This roster is exactly the same as A, meaning the two sets have identical elements and therefore A = B. Neither set is a proper subset of the other, because proper inclusion requires unequal sets. Their intersection is also the whole set, not empty.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
To list B, substitute the allowed values n = 1, 2, 3, and 4 into x = 2n. This gives x = 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This roster is exactly the same as A, meaning the two sets have identical elements and therefore A = B. Neither set is a proper subset of the other, because proper inclusion requires unequal sets. Their intersection is also the whole set, not empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
