If A = {1, 2} and B = {1, 2, {1, 2}}, which statement is correct?
Answer and explanation
Correct answer: A ⊆ B and A ∈ B
The set A has two elements: 1 and 2. Both 1 and 2 occur as elements of B, so every element of A belongs to B; hence A ⊆ B. In addition, the complete set {1, 2}, which is exactly A, is itself listed as an element of B. Therefore A ∈ B also holds. This illustrates that being a subset and being an element are different relationships.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B and A ∈ B
Why is this the correct answer?
The set A has two elements: 1 and 2. Both 1 and 2 occur as elements of B, so every element of A belongs to B; hence A ⊆ B. In addition, the complete set {1, 2}, which is exactly A, is itself listed as an element of B. Therefore A ∈ B also holds. This illustrates that being a subset and being an element are different relationships.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
