The set S of numbers has the following properties
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write the full question please
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the property of set S is
Step-by-step explanation:
Property 1. Commutative property
Intersection and union of sets satisfy the commutative property.
A⋂B = B⋂A
A⋃B = B⋃A.
Property 2. Associative property
Intersection and union of sets satisfy the associative property.
(A⋂B)⋂C = A⋂(B⋂C)
(A⋃B)⋃C = A⋃(B⋃C)
Property 3. Distributive property
Intersection and union of sets satisfy the distributive property.
A⋃(B⋂C) = (A⋃B)⋂(A⋃C)
A⋂(B⋃C) = (A⋂B)⋃(A⋂C)
Property 4. Identity
A⋃∅ = A
A⋂U = A
Property 5. Complement
A⋃AC = U
A⋂AC = ∅
Property 6. Idempotent
A⋂A = A
A⋃A = A
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