Which element belongs to the power set of A = {1, 2, 3}?
Advertisement
Answer and explanation
Correct answer: {1, 2}
The power set P(A) is the set whose elements are all subsets of A. Since 1 and 2 both belong to A, the set {1, 2} is a subset of A and therefore is an element of P(A). The number 4 is not in A, so {4} and {1, 4} are not subsets. Also, 4 itself is not a subset of A in this context.
Frequently asked questions
What is the correct answer to this question?
{1, 2}
Why is this the correct answer?
The power set P(A) is the set whose elements are all subsets of A. Since 1 and 2 both belong to A, the set {1, 2} is a subset of A and therefore is an element of P(A). The number 4 is not in A, so {4} and {1, 4} are not subsets. Also, 4 itself 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: Complement of a Set and Its Properties.
Advertisement