If A = {1, 2, ∅}, which of the following is a subset of A?
Answer and explanation
Correct answer: {1, ∅}
A subset may contain some or all elements of the original set, but every element selected must itself belong to that set. Here A contains 1, 2, and the empty set ∅ as its three elements. Therefore {1, ∅} is a subset of A. Option C, {{1}}, contains the set {1}, which is not an element of A; the element 1 alone is in A.
Frequently asked questions
What is the correct answer to this question?
{1, ∅}
Why is this the correct answer?
A subset may contain some or all elements of the original set, but every element selected must itself belong to that set. Here A contains 1, 2, and the empty set ∅ as its three elements. Therefore {1, ∅} is a subset of A. Option C, {{1}}, contains the set {1}, which is not an element of A; the element 1 alone is in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
