If A = {∅, {∅}, 3}, which of the following is a subset of A but not an element of A?
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Answer and explanation
Correct answer: {3}
A subset contains only elements that belong to A. Since 3 ∈ A, the set {3} is a subset of A. However, the listed elements of A are ∅, {∅}, and 3; the set {3} is not among them, so {3} ∉ A. The empty set, {∅}, and 3 are all elements of A, so they do not satisfy the phrase “not an element of A.”
Frequently asked questions
What is the correct answer to this question?
{3}
Why is this the correct answer?
A subset contains only elements that belong to A. Since 3 ∈ A, the set {3} is a subset of A. However, the listed elements of A are ∅, {∅}, and 3; the set {3} is not among them, so {3} ∉ A. The empty set, {∅}, and 3 are all elements of A, so they do not satisfy the phrase “not an element of A.”
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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