Number Sets

Number sets can be described as collections of mathematical entities that share specific characteristics. Prominent sets encompass Natural Numbers (numbers used for counting), Whole Numbers (which include the number zero), Integers (comprising of both positive and negative numbers as well as zero), Rational Numbers (expressed as fractions), Irrational Numbers (decimals that do not repeat) and Real Numbers (an amalgamation of both rational and irrational numbers).

Finding the Union of Number Sets

Let's consider two number sets:

A = {1, 2, 3, 4}

and

B = {3, 4, 5, 6}

. What is the union of these two sets?

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Determining if a Set is a Subset of Another Set

Determine if the set A = {1, 2, 4} is a subset of the set B = {1, 2, 3, 4, 5}.

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Determining if Two Sets are Mutually Exclusive

Let's consider two sets A and B given as follows: A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9, 10}. Are these two sets mutually exclusive?

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Finding the Set Complement of Two Sets

Given the universal set

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

, and two subsets

A = {1, 2, 3, 4, 5}

and

B = {5, 6, 7, 8}

, find the complement of the union of sets A and B.

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Finding the Power Set

Find the power set of the set

A = {a, b}

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Finding the Cardinality

Let's say that we have a set

A = {1, 2, 3, 4, 5}

and a set

B = {2, 4, 6, 8, 10}

. What is the cardinality of the intersection of these two sets?

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Finding the Cartesian Product of Two Sets

Find the Cartesian product of the sets A = {1, 2} and B = {3, 4, 5}.

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Determining if a Set is a Proper Subset of Another Set

Given two sets, Set A = {1, 2, 3, 4, 5} and Set B = {1, 2, 3, 4, 5, 6}, determine if Set A is a proper subset of Set B.

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Number Sets

Finding the Union of Number Sets

Determining if a Set is a Subset of Another Set

Determining if Two Sets are Mutually Exclusive

Finding the Set Complement of Two Sets

Finding the Power Set

Finding the Cardinality

Finding the Cartesian Product of Two Sets

Determining if a Set is a Proper Subset of Another Set

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