If A = ∅ and B = {0}, which option is correct?
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Answer and explanation
Correct answer: A ⊂ B and A ≠ B
The empty set ∅ is a subset of every set, so ∅ ⊆ {0}. Since B contains the element 0 while A contains no elements, A and B are not equal. Therefore, A is a proper subset of B, written A ⊂ B. Also, 0 is not an element of A because A is empty, so option D is false.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B and A ≠ B
Why is this the correct answer?
The empty set ∅ is a subset of every set, so ∅ ⊆ {0}. Since B contains the element 0 while A contains no elements, A and B are not equal. Therefore, A is a proper subset of B, written A ⊂ B. Also, 0 is not an element of A because A is empty, so option D is false.
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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