For any set A, which two elements are always present in P(A)?
Answer and explanation
Correct answer: ∅ and A
For every set A, the empty set ∅ is a subset of A because it has no element that can violate the subset condition. The set A itself is also a subset of A because every element of A is contained in A. Since P(A) contains all subsets of A, both ∅ and A are always elements of P(A). The universal set U need not be a subset of A.
Frequently asked questions
What is the correct answer to this question?
∅ and A
Why is this the correct answer?
For every set A, the empty set ∅ is a subset of A because it has no element that can violate the subset condition. The set A itself is also a subset of A because every element of A is contained in A. Since P(A) contains all subsets of A, both ∅ and A are always elements of P(A). The universal set U need not be a subset of A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
