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

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

Example Question #6 : Real Analysis

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

Possible Answers:

All whole numbers

All numbers  between  and 

Correct answer:

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 #7 : Real Analysis

Which of the following is a finite set?

Possible Answers:

All real numbers between  and 

All whole numbers between  and , inclusive

Correct answer:

All whole numbers between  and , inclusive

Explanation:

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 .

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