If A = {a, b}, which element does not belong to P(A)?
Answer and explanation
Correct answer: a
The power set P(A) is the set of all subsets of A. For A = {a, b}, its elements are ∅, {a}, {b}, and {a, b}. The symbol a is an element of A, but it is not itself a subset of A; it is not enclosed in braces as a one-element set. Therefore, a does not belong to P(A), making option D correct. The distinction between a and {a} is essential.
Frequently asked questions
What is the correct answer to this question?
a
Why is this the correct answer?
The power set P(A) is the set of all subsets of A. For A = {a, b}, its elements are ∅, {a}, {b}, and {a, b}. The symbol a is an element of A, but it is not itself a subset of A; it is not enclosed in braces as a one-element set. Therefore, a does not belong to P(A), making option D correct. The distinction between a and {a} is essential.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
