If A = {∅, 2}, which of the following is both an element of A and a subset of A?
Answer and explanation
Correct answer: ∅
The empty set ∅ is explicitly listed as an element of A, so ∅ ∈ A. Also, the empty set is a subset of every set because it has no element that could violate the subset condition; hence ∅ ⊆ A. Therefore, ∅ satisfies both requirements. Although 2 is an element of A, it is not a set and therefore is not a subset of A in this context.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The empty set ∅ is explicitly listed as an element of A, so ∅ ∈ A. Also, the empty set is a subset of every set because it has no element that could violate the subset condition; hence ∅ ⊆ A. Therefore, ∅ satisfies both requirements. Although 2 is an element of A, it is not a set and therefore is not a subset of A in this context.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
