If A = {1, 2, 3}, which statement is certainly true?
Answer and explanation
Correct answer: {1, 2} ⊂ A
The set {1, 2} contains only elements that are also in A, and it is not equal to A because A additionally contains 3. Therefore, {1, 2} is a proper subset of A, written {1, 2} ⊂ A. The notation {1, 2} ∈ A would incorrectly treat a set as one of A’s listed elements.
Frequently asked questions
What is the correct answer to this question?
{1, 2} ⊂ A
Why is this the correct answer?
The set {1, 2} contains only elements that are also in A, and it is not equal to A because A additionally contains 3. Therefore, {1, 2} is a proper subset of A, written {1, 2} ⊂ A. The notation {1, 2} ∈ A would incorrectly treat a set as one of A’s listed elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.