Property 1. Commutative property.
Property 2. Associative property.
Property 3. Distributive property.
Property 4. Identity.
Property 5. Complement.
Property 6. Idempotent.
Intersection and union of sets satisfy the commutative property.
A⋂B = B⋂A
A⋃B = B⋃A
Intersection and union of sets satisfy the associative property.
(A⋂B)⋂C = A⋂(B⋂C)
(A⋃B)⋃C = A⋃(B⋃C)
Intersection and union of sets satisfy the distributive property.
A⋃(B⋂C) = (A⋃B)⋂(A⋃C)
A⋂(B⋃C) = (A⋂B)⋃(A⋂C)
A⋃∅ = A
A⋂U = A
A⋃A^C = U
A⋂A^C = ∅
A⋂A = A
A⋃A = A
[tex] \sf \: \: \: \:\:~~~~~~~~~~~ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: -MrAltitudeBoy[/tex]
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Answers & Comments
Property 1. Commutative property.
Property 2. Associative property.
Property 3. Distributive property.
Property 4. Identity.
Property 5. Complement.
Property 6. Idempotent.
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⋃A^C = U
A⋂A^C = ∅
Property 6. Idempotent
A⋂A = A
A⋃A = A
[tex] \sf \: \: \: \:\:~~~~~~~~~~~ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: -MrAltitudeBoy[/tex]