Prove the distributive law and De Morgan's law.
(i) `A cap (B cup C)=(A cap B)cup(A cap C)`
(ii) `(A cup B)'=A' cap B'`

Prove A cup (B cap C)=(A cup B) cap(A cup C)

Prove A cup (B cap C)=(A cup B) cap(A cup C)

A cup (B cap C)= ………..

Prove (A cap B)'=(A' cup B')

Prove (A cap B)'=(A' cup B')

(A cup B)' cup (A' cap B)=......

Prove the following operations by Venn diagrams, A cap( B cupC)=(A cap B) cup (A cap C)

Suppose A, B and C are three sets. Consider the following: (i) A cup (B cap C) = (A cup B) cap (A cup C) (ii) (A cap B) cup C = (A cup C) cap (B cup C) Which of the above is true?