If A = {2, 4, 8} and B = {x : x is a positive divisor of 8}, which statement is correct?
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Answer and explanation
Correct answer: A ⊂ B
The positive divisors of 8 are 1, 2, 4, and 8, so B = {1, 2, 4, 8}. Every element of A = {2, 4, 8} is in B, but B contains the additional element 1, which is not in A. Therefore A is a proper subset of B, written A ⊂ B. The sets are not equal, and their intersection is A rather than the empty set.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B
Why is this the correct answer?
The positive divisors of 8 are 1, 2, 4, and 8, so B = {1, 2, 4, 8}. Every element of A = {2, 4, 8} is in B, but B contains the additional element 1, which is not in A. Therefore A is a proper subset of B, written A ⊂ B. The sets are not equal, and their intersection is A rather than the empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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