If A = {1, 2} and B = {1, 2, ∅}, which statement is correct?
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Answer and explanation
Correct answer: A ⊂ B and A ≠ B
Both elements of A, namely 1 and 2, are also elements of B, so A is a subset of B. However, B contains one additional element, the empty set ∅, which is not an element of A. Thus the two sets are not equal, and A is a proper subset of B. Notice that ∅ as an element differs from the empty set B itself.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B and A ≠ B
Why is this the correct answer?
Both elements of A, namely 1 and 2, are also elements of B, so A is a subset of B. However, B contains one additional element, the empty set ∅, which is not an element of A. Thus the two sets are not equal, and A is a proper subset of B. Notice that ∅ as an element differs from the empty set B itself.
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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