If A = {1, 2}, why is {1, 2, 3} not an element of P(A)?
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Answer and explanation
Correct answer: Because 3 is not in A
An element of the power set P(A) must be a subset of A, meaning every element of that set must belong to A. Although 1 and 2 belong to A, the set {1,2,3} also contains 3, and 3 is not in A. Therefore {1,2,3} is not a subset of A and cannot be an element of P(A).
Frequently asked questions
What is the correct answer to this question?
Because 3 is not in A
Why is this the correct answer?
An element of the power set P(A) must be a subset of A, meaning every element of that set must belong to A. Although 1 and 2 belong to A, the set {1,2,3} also contains 3, and 3 is not in A. Therefore {1,2,3} is not a subset of A and cannot be an element of P(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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