Set Theory - GRE Subject Test: Math
Card 0 of 7
Which of the following sets is not an infinite set??
Which of the following sets is not an infinite set??
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..
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
The set of whole numbers between
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Which of the following is a finite set?
Which of the following is a finite set?
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 
.
Note: The set of real numbers
Step 1: The set of real numbers between two numbers
Step 2: The set of whole numbers between
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Which of the following is true about the relationship between sets?
Which of the following is true about the relationship between sets?
The subset symbol should be read as "is a subset of" So it's the first letter is a subset of the second letter. To be a subset, all of its elements must be contained in the other set.
The only one of these relationships that is true (where the entire set on the left is in the right set) is 
The elements of B, 4, 5, 6, and 8 all appear in set D.
The subset symbol should be read as "is a subset of" So it's the first letter is a subset of the second letter. To be a subset, all of its elements must be contained in the other set.
The only one of these relationships that is true (where the entire set on the left is in the right set) is
The elements of B, 4, 5, 6, and 8 all appear in set D.
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Which of the following is not a subset of Set A:{ 
}
Which of the following is not a subset of Set A:{
Step 1: A subset of a set must have elements in Set A. If any number in the subset is not in the original set, then that subset is not a subset of that set.
{
} is not a subset because 
is not in Set A.
Step 1: A subset of a set must have elements in Set A. If any number in the subset is not in the original set, then that subset is not a subset of that set.
{
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Which of the following is NOT a subset of Set A: 
Which of the following is NOT a subset of Set A:
Step 1: Recall the definition of a subset. A subset is a small part of a bigger given set; ALL numbers in the subset must be in the original set.
Step 2: We look at the original set and then look at the answers. If there is any answer that has an element that is not showing up in the original set, than that is the right answer.
Let's look at: 
. The 
is in the original set, but the 
is not. Since we have a number in the subset that is not in the original set, we can say that 
is not a subset.
The other two answers with brackets are subsets of the original set. All elements in the subsets are present in the original set.
The empty set is always a subset of any given set.
The answer is 
Step 1: Recall the definition of a subset. A subset is a small part of a bigger given set; ALL numbers in the subset must be in the original set.
Step 2: We look at the original set and then look at the answers. If there is any answer that has an element that is not showing up in the original set, than that is the right answer.
Let's look at:
The other two answers with brackets are subsets of the original set. All elements in the subsets are present in the original set.
The empty set is always a subset of any given set.
The answer is
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What is a subset of 
?
What is a subset of
Step 1: Define a subset. A subset of a bigger set is a smaller part where all the elements in the subset must be present in the bigger set.
The answer is 
. All numbers in this subset are in the bigger set, which is provided in the question...
Step 1: Define a subset. A subset of a bigger set is a smaller part where all the elements in the subset must be present in the bigger set.
The answer is
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Which of the following is a subset of the set: 
?
Which of the following is a subset of the set:
Step 1: Define a subset
A subset of a big set is a set that has some of the elements that are in the bigger parent set.
The answer is 
because both 
and 
are both in the bigger set.
Step 1: Define a subset
A subset of a big set is a set that has some of the elements that are in the bigger parent set.
The answer is
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