SSS1 Math Quiz 6.4 – Subset

What is a subset?

A set that contains all elements of another set

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A set that contains some or all elements of another set

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A set that contains only one element

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A set that contains no elements

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How many subsets does a set with 3 elements have?

3

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6

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8

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9

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Which of the following sets is a proper subset of {1, 2, 3}?

{1, 2, 3}

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{1, 2, 3, 4}

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{1, 2}

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{2, 3}

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What is the relationship between a set and its power set?

They have the same number of elements

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The power set is a subset of the original set

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The original set is a proper subset of its power set

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The power set contains all subsets of the original set

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How many proper subsets does a set with 4 elements have?

4

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8

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12

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16

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Can the empty set be considered a subset of any set?

Yes

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No

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Only if the set is finite

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Only if the set is infinite

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What symbol is used to represent a subset?

⊂

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∉

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∈

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=

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Which of the following sets is not a subset of {a, b, c}?

{a, c}

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{b, c}

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{a, b, c}

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{d, e}

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How many subsets does the empty set have?

0

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1

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2

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Infinite

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Which of the following statements about subsets is true?

Every set is a subset of itself

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No set is a subset of itself

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Only finite sets can have subsets

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All subsets have the same number of elements

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What is the power set of the set {x, y}?

{{}, {x, y}}

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{x, y}

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{{x}, {y}}

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{{}, {x}, {y}, {x, y}}

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If set A has n elements, how many subsets does it have?

n

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2^n

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n!

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n^2

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Can the universal set be considered a proper subset of any set?

Yes

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No

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Only if the universal set is finite

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Only if the set is empty

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What is the difference between a proper subset and an improper subset?

Proper subsets contain more elements than the original set

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Improper subsets contain fewer elements than the original set

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Proper subsets do not include the original set itself

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Improper subsets include the original set itself

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How do you find the number of subsets of a given set with n elements?

n!

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2^n

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n^2

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n/2

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Can a set with n elements have more than 2^n subsets?

Yes

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No

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Only if n is odd

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Only if n is even

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Which of the following sets is a subset of every set?

Empty set

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Universal set

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Power set

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Singleton set

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What is the cardinality of the power set of a set with n elements?

n

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2^n

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n!

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n^2

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Can two sets with the same elements be considered equal sets?

Yes

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No

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Only if they have different cardinalities

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Only if they are proper subsets of each other

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If set A is a subset of set B, what can you conclude?

Set A is the same as set B

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Set A contains all elements of set B

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Set B contains all elements of set A

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Set A has fewer elements than set B

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SSS1 Math Quiz 6.4 – Subset

SSS1 Math Quiz 6.4 – Subset

Noah Wasiu September 5, 2024

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