If A = {∅, 1}, which of the following is a subset of A?
Answer and explanation
Correct answer: {∅}
The key concept is the difference between an element and a set containing that element. Here A has exactly two elements: ∅ and the number 1. The set {∅} contains only ∅, which belongs to A, so {∅} ⊆ A. In contrast, 0 is not in A, 2 is not in A, and {{1}} contains the set {1}, not the number 1 itself. Therefore only option A is a subset of A.
Frequently asked questions
What is the correct answer to this question?
{∅}
Why is this the correct answer?
The key concept is the difference between an element and a set containing that element. Here A has exactly two elements: ∅ and the number 1. The set {∅} contains only ∅, which belongs to A, so {∅} ⊆ A. In contrast, 0 is not in A, 2 is not in A, and {{1}} contains the set {1}, not the number 1 itself. Therefore only option A is a subset of A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
