If A={1,2,{1,2}}, which statement is correct?
Answer and explanation
Correct answer: {1,2}∈A and {1,2}∈P(A)
The notation distinguishes an element from a subset. Here the set {1,2} is explicitly listed as one element of A, so {1,2}∈A. It is also a subset of A because both 1 and 2 are individually elements of A. Every subset of A belongs to P(A), so {1,2}∈P(A) as well. Therefore option A is the only correct statement.
Frequently asked questions
What is the correct answer to this question?
{1,2}∈A and {1,2}∈P(A)
Why is this the correct answer?
The notation distinguishes an element from a subset. Here the set {1,2} is explicitly listed as one element of A, so {1,2}∈A. It is also a subset of A because both 1 and 2 are individually elements of A. Every subset of A belongs to P(A), so {1,2}∈P(A) as well. Therefore option A is the only correct statement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
