What type of set is A = {x : x is an integer}?
Answer and explanation
Correct answer: Infinite set
The integers are ..., −3, −2, −1, 0, 1, 2, 3, .... They extend without end in both the negative and positive directions. For any integer, another larger integer can be found, and another smaller integer can also be found. Consequently, the set of all integers has infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The integers are ..., −3, −2, −1, 0, 1, 2, 3, .... They extend without end in both the negative and positive directions. For any integer, another larger integer can be found, and another smaller integer can also be found. Consequently, the set of all integers has infinitely many elements and is an infinite set.
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.
