# Mathematics of Set

### Mathematics of Set

If A and B are sets, the intersection of A with B, denoted A$$\cap$$ B is the set consisting of elements that belong to both A and B. The union of A with B, denoted A $$\cup$$ B is the set consisting of elements that belong to either A or B,
or both.

A = {1, 3, 5, 8}

B = {3, 5, 7}

C = {2, 4, 6, 8}

Finding the Intersection and Union of Sets
Let and Find:

1. A $$\cap$$ B

2. A $$\cup$$ B

3. B $$\cap$$ (A $$\cup$$ C)

Let me see.

1. A $$\cap$$ B = the elements found in both sets.
A $$\cap$$ B = {3, 5}

2. A $$\cup$$ B = {1, 3, 5, 7, 8}

3. B $$\cap$$ (A $$\cup$$ C)

I first must find A $$\cup$$ C.

A $$\cup$$ C = {1, 2, 3, 4, 5, 6, 7, 8}

I now find B $$\cap$$ C.

B $$\cap$$ C = {3, 5, 7}

You say?
nycmathguy

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### Re: Mathematics of Set

B={3,5,7}; C={2,4,6,8}$$\Rightarrow B \cap C = O$$ (empty set )

nathi123

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### Re: Mathematics of Set

B $$\cap( A \cup C )$$ = { 3,5}
because A$$\cup C$$ = {1,2,3,4,5,6,8}

nathi123

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### Re: Mathematics of Set

There is no 7 in either A or C so there is no 7 in $A\cup C$.
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