If A = {1, 2} and B = {1, 2, {1, 2}}, which statement is correct?
Answer and explanation
Correct answer: Both A ∈ B and A ⊆ B are true
Because A = {1,2} appears explicitly as one complete element inside B, A ∈ B is true. Also, the two elements of A, namely 1 and 2, both occur in B. Therefore every element of A belongs to B, so A ⊆ B is also true. Notice the distinction: A is present as a single set-element in B, while 1 and 2 are present individually, which establishes the subset relation. Thus both statements in option A are correct.
Frequently asked questions
What is the correct answer to this question?
Both A ∈ B and A ⊆ B are true
Why is this the correct answer?
Because A = {1,2} appears explicitly as one complete element inside B, A ∈ B is true. Also, the two elements of A, namely 1 and 2, both occur in B. Therefore every element of A belongs to B, so A ⊆ B is also true. Notice the distinction: A is present as a single set-element in B, while 1 and 2 are present individually, which establishes the subset relation. Thus both statements in option A are correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
