If A = {a, b}, which of the following is an element of P(A)?
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Answer and explanation
Correct answer: {a}
The elements of the power set P(A) are subsets of A, not generally the individual elements of A. For A = {a, b}, the power set is {∅, {a}, {b}, {a, b}}. Hence {a} is an element of P(A) because it is a subset of A. The symbols a and b are elements of A, while ab is not a set and is not a subset of A.
Frequently asked questions
What is the correct answer to this question?
{a}
Why is this the correct answer?
The elements of the power set P(A) are subsets of A, not generally the individual elements of A. For A = {a, b}, the power set is {∅, {a}, {b}, {a, b}}. Hence {a} is an element of P(A) because it is a subset of A. The symbols a and b are elements of A, while ab is not a set and is not 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.
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