Sets trnd arnd Flashcards

1
Q

A ∩ B = B ∩ A
A ∪ B = B ∪ A

A

Commutativity

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2
Q

A ∩ A ′ = ∅
A ∪ A ′ = U

A

Complement

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3
Q

A ∩ A = A
A ∪ A = A

A

Idempotence

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4
Q

A ∩ (B ∩ C) = (A ∩ B) ∩ C
A ∪ (B ∪ C) = (A ∪ B) ∪ C

A

Associativity

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5
Q

A ∩ U = A
A ∪ ∅ = A

A

Identity

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6
Q

A ∩ ∅ = ∅
A ∪ U = U

A

Domination

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7
Q

(A ′)′ = A

A

Involution

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8
Q

A \ B = A ∩ B′
A △ B = (A ∪ B) ∩ (A ∩ B)′

A

Definitions

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9
Q

(A ∩ B)′ = A ′ ∪ B′
(A ∪ B)′ = A ′ ∩ B′

A

De Morgan

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10
Q

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

A

Distributivity

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