If A = {2, 4, 6} and B = {1, 2, 3, 4, 5, 6}, which relation is correct?
Answer and explanation
Correct answer: A ⊆ B
To determine whether A is a subset of B, check whether every element of A occurs in B. The elements of A are 2, 4, and 6, and all three are present in B. Therefore A ⊆ B is true. The reverse relation B ⊆ A is false because B also contains 1, 3, and 5. The sets are not equal because they do not have the same elements, so option A is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
To determine whether A is a subset of B, check whether every element of A occurs in B. The elements of A are 2, 4, and 6, and all three are present in B. Therefore A ⊆ B is true. The reverse relation B ⊆ A is false because B also contains 1, 3, and 5. The sets are not equal because they do not have the same elements, so option A is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
