If A = {2, 4, 6} and B = {2, 4, 6, 8}, which statement is correct?
Answer and explanation
Correct answer: A ⊆ B
A set A is a subset of B when every element of A is also an element of B. The elements of A are 2, 4, and 6, and all three appear in B. Therefore A ⊆ B. However, B is not a subset of A because 8 belongs to B but not to A. The sets are not equal for the same reason, and 8 ∉ A. Since B has one additional element, A is also a proper subset of B.
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What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
A set A is a subset of B when every element of A is also an element of B. The elements of A are 2, 4, and 6, and all three appear in B. Therefore A ⊆ B. However, B is not a subset of A because 8 belongs to B but not to A. The sets are not equal for the same reason, and 8 ∉ A. Since B has one additional element, A is also a proper subset of B.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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