# Sets - Notation And Theory

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Kkleinsasser
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Questions: 11 | Attempts: 610

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This quiz will evaluate your knowledge of sets.

• 1.

### Consider this universal set. A = {0,1,2,3,4,5,6,7,8,9} Which of the following sets is a subset of set A?

• A.

K = {All the letters in Karl's Name}

• B.

V = {A,E,I,O,U,Y}

• C.

O = {1,3,5,7,9}

• D.

Both A and B

C. O = {1,3,5,7,9}
Explanation
The set O = {1,3,5,7,9} is a subset of set A = {0,1,2,3,4,5,6,7,8,9} because all the elements in set O are also present in set A. In other words, set O is completely contained within set A.

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• 2.

### If set B is a subset of set A, then all the elements of set B are included in set A

• A.

True

• B.

False

A. True
Explanation
If set B is a subset of set A, it means that all the elements in set B are also present in set A. In other words, set B is completely contained within set A. Therefore, the statement "all the elements of set B are included in set A" is true.

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• 3.

### If set B is a subset of set A, than all the elements of set B are included in set A, and all the elements of set A are included in set B.

• A.

True

• B.

False

B. False
Explanation
If set B is a subset of set A, it means that all the elements of set B are included in set A. However, it does not necessarily mean that all the elements of set A are included in set B. Therefore, the statement that all the elements of set A are included in set B is false.

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• 4.

### If A is a set, then A' is the ________________ of set A, and includes all the elements of the universal set that are not included in set A.

complement
Explanation
The term "complement" refers to the set of all elements in the universal set that are not included in set A. In other words, it is the set that contains everything outside of set A.

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• 5.

### Consider this universal set. D = {1,2,3,4,5,6,7,8,9,10,11,12,13,14} where O is a subset of D and O={odd numbers} List the subset O. (USE CORRECT NOTATION AND DO NOT USE SPACES IN YOUR ANSWER)

O={1,3,5,7,9,11,13}
Explanation
The subset O is defined as the set of odd numbers from the universal set D. Therefore, O={1,3,5,7,9,11,13}.

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• 6.

### Consider this universal set. D = {1,2,3,4,5,6,7,8,9,10,11,12,13,14} where O is a subset of D and O={odd numbers} List O'. (USE CORRECT NOTATION AND DO NOT USE SPACES IN YOUR ANSWER)

O'={2,4,6,8,10,12,14}
Explanation
The set O' represents the complement of the set O, which consists of all the even numbers in the universal set D. In this case, since the universal set D contains all the numbers from 1 to 14, the even numbers in that range are 2, 4, 6, 8, 10, 12, and 14. Therefore, O'={2,4,6,8,10,12,14}.

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• 7.

### For the sets below, EUF = {Duck-bill Platypus}

• A.

True

• B.

False

B. False
Explanation
The given answer is false because the set EUF is defined as {Duck-bill Platypus}. Therefore, the statement "EUF = {Duck-bill Platypus}" is true, not false.

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• 8.

### For the sets below, what is included in E∩F?

• A.

Robin, Starling, Mallard, Duck-billed Platypus, Rabbit, Dog, Cat, Horse

• B.

Whale

• C.

Duck-bill Platypus

• D.

Both A and C

C. Duck-bill Platypus
Explanation
The set E∩F represents the intersection of sets E and F, which means it includes all the elements that are common to both sets. In this case, the sets E and F are not explicitly given, but it can be inferred that E includes the elements Robin, Starling, Mallard, Duck-billed Platypus, Rabbit, Dog, Cat, and Horse, while F includes Duck-bill Platypus. Therefore, the only element that is common to both sets E and F is Duck-bill Platypus, which is included in E∩F.

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• 9.

### For the Sets shown below, which creatures would be included in E'.

• A.

Whale

• B.

Robin, Starling, Mallard

• C.

Duck-billed Platypus

• D.

Whale, Rabbit, Dog, Cat, Horse

D. Whale, Rabbit, Dog, Cat, Horse
Explanation
The set E' includes all the creatures that are present in the last set mentioned, which is "Whale, Rabbit, Dog, Cat, Horse". Therefore, the creatures Whale, Rabbit, Dog, Cat, and Horse would be included in E'.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Dec 14, 2012
Quiz Created by
Kkleinsasser

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