If A = {1, {1, 2}, 2}, which statement is true?
Answer and explanation
Correct answer: {1, 2} ∈ A
The set A has three elements: the number 1, the set {1, 2}, and the number 2. Therefore {1, 2} is itself an element of A, so {1, 2} ∈ A is true. In fact, {1, 2} is also a subset of A because both 1 and 2 belong to A. The symbols ∈ and ⊆ must not be confused: one describes an element, while the other describes a set contained in another set.
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 set {1, 2}, and the number 2. Therefore {1, 2} is itself an element of A, so {1, 2} ∈ A is true. In fact, {1, 2} is also a subset of A because both 1 and 2 belong to A. The symbols ∈ and ⊆ must not be confused: one describes an element, while the other describes a set contained in another set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
