week 1 Flashcards

1
Q

AUB

A

consists of every element that is in either A or B (or both)
called the union of A and B
or

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2
Q

AnB

A

consists of every element that is in both A and B
intersection.
and
N= but

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3
Q

n(U)

A

Universal set
set of all elements under consideration in the problem

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4
Q

A^c

A

A complement
consists of every element of U that is not in A

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5
Q

A⊆B

A

A is a subset of B
if all the elements of A are also in B

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6
Q

A

The empty set
always a subset of any set

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7
Q

A⊆A

A

A set is always a subset of itself

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8
Q

n(AUB)=

A

n(A) + n(B) - n(AnB)

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9
Q

n(AnB)=

A

n(A) + n(B) - n(AUB)

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10
Q

n(A^c)=

A

n(U) - n(A)
n(A^c n B) + n(A^c n B ^c)

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11
Q

n(A)=

A

n(AnB) + n(AnB^c)

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12
Q

De Morgan’s Laws
(AnB)^c=

A

A^c U B^c

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13
Q

De Morgan’s Laws
(AUB)^c=

A

A^c n B^c

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