If A = {x : x ∈ N, x ≤ 3}, which of the following is a proper subset of A?
Answer and explanation
Correct answer: {1, 2}
Using the usual school convention N = {1, 2, 3, ...}, the condition x ≤ 3 gives A = {1, 2, 3}. A proper subset must contain only elements of A and must not be equal to A. The set {1, 2} satisfies both conditions, so it is a proper subset. Option B equals A, option C contains 4, and option D contains 0, which is not in A under this convention.
Frequently asked questions
What is the correct answer to this question?
{1, 2}
Why is this the correct answer?
Using the usual school convention N = {1, 2, 3, ...}, the condition x ≤ 3 gives A = {1, 2, 3}. A proper subset must contain only elements of A and must not be equal to A. The set {1, 2} satisfies both conditions, so it is a proper subset. Option B equals A, option C contains 4, and option D contains 0, which is not in A under this convention.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
