Which of the following is not an element of P({1, 2})?
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Answer and explanation
Correct answer: {3}
The power set P({1, 2}) contains every subset of {1, 2}: ∅, {1}, {2}, and {1, 2}. A set belongs to the power set only when all of its elements belong to the original set. Since 3 is not an element of {1, 2}, the set {3} is not a subset of {1, 2}, and therefore it is not an element of the power set. Option D is correct.
Frequently asked questions
What is the correct answer to this question?
{3}
Why is this the correct answer?
The power set P({1, 2}) contains every subset of {1, 2}: ∅, {1}, {2}, and {1, 2}. A set belongs to the power set only when all of its elements belong to the original set. Since 3 is not an element of {1, 2}, the set {3} is not a subset of {1, 2}, and therefore it is not an element of the power set. Option D is correct.
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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