GRE Subject Test: Math : Finite, Infinite, Countable, Not Countable Classifications

Example Questions

Example Question #6 : Real Analysis

Which of the following sets is not an infinite set??

All numbers between and   All whole numbers  All whole numbers  Explanation:

Step 1: Determine the difference between Infinite and Finite Sets...

Finite Sets: A set that has very limited elements in it
Infinite Sets: Any set where I can always find another number between two given boundaries.

The Set of integers and rational numbers are infinite sets..
All numbers between and is also an infinite set because I can come up with infinite decimal numbers..

The set of whole numbers between and inclusive is a finite set because I ask for a specific type of number.. a whole number. Whole numbers cannot be decimals..

Example Question #1 : Real Analysis

Which of the following is a finite set? All whole numbers between and , inclusive

All real numbers between and  All whole numbers between and , inclusive
Note: The set of real numbers , natural numbers are both infinite sets.
Step 1: The set of real numbers between two numbers is also an infinite set.
Step 2: The set of whole numbers between and inclusive is finite because there are only three numbers that are represented by the set. These numbers are . 