If A = {{1}, {2}, {1,2}}, which of the following is an element of A?
Answer and explanation
Correct answer: {1,2}
The set A has exactly three elements: {1}, {2}, and {1,2}. Therefore, the set {1,2} itself is an element of A, so option A is correct. The numbers 1 and 2 are elements of the inner sets, but they are not direct elements of A. Option D is another set that is not listed as an element of A. This question tests the important distinction between an element and a set containing elements.
Frequently asked questions
What is the correct answer to this question?
{1,2}
Why is this the correct answer?
The set A has exactly three elements: {1}, {2}, and {1,2}. Therefore, the set {1,2} itself is an element of A, so option A is correct. The numbers 1 and 2 are elements of the inner sets, but they are not direct elements of A. Option D is another set that is not listed as an element of A. This question tests the important distinction between an element and a set containing elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
