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26 Cards in this Set
- Front
- Back
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x∈A means
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x is an element of A
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x∉A means
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x is not an element of A
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A⊂B means
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Each element of the set A is an element of the set B
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A∪B
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the set of all elements in either A or B (or both)
{x|x∈A or x∈B} |
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A ∩ B
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the set of all elements that are in both A and B.
{x|x∈A and x∈B} |
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B'
~B B ̅ all mean: |
compliment of B
All elements NOT in B {x|x∉B} |
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A - B =
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consists of all elements that are in A but not in B
{x|x∈A and x∉B} |
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A∪B =
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B∪A
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A ∩ B =
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B ∩ A
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A∪A =
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A
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A ∩ A =
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A
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A ∩ ∅ =
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∅
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A - ∅ =
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A
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A ∪ ∅ =
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A
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A∪(B ∩ C) =
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(A∪B) ∩ (A∪C)
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∪
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Union
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∩
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Intersection
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A ∩ (B∪C) =
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(A ∩ B)∪(A ∩ C)
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(A∪B)' =
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A' ∩ B'
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(A ∩ B)' =
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A' ∪ B'
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If A⊂B, then A∪B =
and A ∩ B = |
B, A
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For any sets A and B,
A ∩ B ⊂ A ⊂ A∪B -and- A ∩ B ⊂ B ⊂ A∪B |
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For any set A,
∅ ⊂ A |
(the empty set if a subset of any other set A)
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b^0 =
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1
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cos(x) =
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-sin(x)
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sin(x) =
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cos(x)
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