If A = {1, 2, {1, 2}}, which statement is true?
Answer and explanation
Correct answer: {1, 2} ∈ A
The set A has three elements: the number 1, the number 2, and the set {1, 2}. Since {1, 2} appears as one complete element inside A, the membership statement {1, 2} ∈ A is true. It is not equal to A because A has two additional elements, 1 and 2. The number 3 is absent, so neither 3 ∈ A nor {1, 2, 3} ⊆ A can be true.
Frequently asked questions
What is the correct answer to this question?
{1, 2} ∈ A
Why is this the correct answer?
The set A has three elements: the number 1, the number 2, and the set {1, 2}. Since {1, 2} appears as one complete element inside A, the membership statement {1, 2} ∈ A is true. It is not equal to A because A has two additional elements, 1 and 2. The number 3 is absent, so neither 3 ∈ A nor {1, 2, 3} ⊆ A can be true.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
