Which set is infinite but is not the set of all integers?
Answer and explanation
Correct answer: {x : x ∈ ℤ and x > 0}
Option A is the set of positive integers {1, 2, 3, …}. It has infinitely many elements because there is no largest positive integer, but it is not the set of all integers because it excludes zero and every negative integer. Option B is finite, option C is finite, and option D equals {−1, 1}, which is also finite. Hence A is the unique answer.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ ℤ and x > 0}
Why is this the correct answer?
Option A is the set of positive integers {1, 2, 3, …}. It has infinitely many elements because there is no largest positive integer, but it is not the set of all integers because it excludes zero and every negative integer. Option B is finite, option C is finite, and option D equals {−1, 1}, which is also finite. Hence A is the unique answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
