If A = {1, 2, {3}}, which of the following is an element of A?
Answer and explanation
Correct answer: {3}
The set A has exactly three elements: 1, 2, and the set {3}. Therefore, {3} is one complete element of A. The number 3 itself is not listed separately as an element; it is contained inside the element {3}. Also, {1, 2, 3} is not an element of A, and although ∅ is a subset of every set, it is not necessarily an element of A. Hence, the correct answer is {3}.
Frequently asked questions
What is the correct answer to this question?
{3}
Why is this the correct answer?
The set A has exactly three elements: 1, 2, and the set {3}. Therefore, {3} is one complete element of A. The number 3 itself is not listed separately as an element; it is contained inside the element {3}. Also, {1, 2, 3} is not an element of A, and although ∅ is a subset of every set, it is not necessarily an element of A. Hence, the correct answer is {3}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
