If A = {1, 2, 3}, which of the following is not a subset of A?
Answer and explanation
Correct answer: {2, 4}
A set is a subset of A only when every one of its elements belongs to A. The empty set is a subset of every set, so option A is valid. Both 1 and 3 belong to A, so {1, 3} is a subset. The set {1, 2, 3} is A itself and is therefore also a subset of A. However, 4 is not an element of A, so {2, 4} cannot be a subset. Hence option C is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
{2, 4}
Why is this the correct answer?
A set is a subset of A only when every one of its elements belongs to A. The empty set is a subset of every set, so option A is valid. Both 1 and 3 belong to A, so {1, 3} is a subset. The set {1, 2, 3} is A itself and is therefore also a subset of A. However, 4 is not an element of A, so {2, 4} cannot be a subset. Hence option C is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
