What is Distributive Property in sets
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Kapil Gupta
Sep 13, 2015, 4:18:41 AM9/13/15
to Discrete Mathematics and Logic
for any arbitrary Sets A, B and C
Left Distributive Property of union over intersection
A U (B Intersection C) = (A U B) Intersection (A U C)
Right Distributive Property of union over intersection
(B Intersection C) U A = (B U A) Intersection (C U A)
Left Distributive Property of intersection over union
A Intersection (B U C) = (A Intersection B) U (A Intersection C)
Right Distributive Property of intersection over union
(B U C) Intersection A = (B Intersection A) U (C Intersection A)
Left Distributive Property of union over intersection
A U (B Intersection C) = (A U B) Intersection (A U C)
Right Distributive Property of union over intersection
(B Intersection C) U A = (B U A) Intersection (C U A)
Left Distributive Property of intersection over union
A Intersection (B U C) = (A Intersection B) U (A Intersection C)
Right Distributive Property of intersection over union
(B U C) Intersection A = (B Intersection A) U (C Intersection A)
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