Let `A = (a,e,i,o,u}, B={a,d,e,o,v} and C{ e,o,t, m}`.
Using Venn diagrams, verify the following :
(i) `A cup (Bcap C) =(A cup B) cap (A cup C)`
(ii) `A cap (Bcup C) =(A cap B) cup (A capC)`.

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

Let A ={2,4,6,8,10}, B={4,8,12,16} and C={ 6,12 ,18, 24} . Using Venn diagrams, verify that: (i) (Acup B) cup C=A cup (B cup C) (ii) (A cap B) cap C =A cap (Bcap C)

Draw the Venn diagram for each of the following : (i) (A cap B)' (ii) (A cup B)' (iii) A' cup B' (iv) A' cap B' .

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?

If A = {x:x in N, x le 7}, B={x:x "is prime", x lt 8} and C ={x:x in N, x "is odd and" x lt 10} , verify that : (i) A cup (Bcap C) =(A cup B ) (A cup C) (ii) A cap (BcupC) =(A cap B) cup (A cap C)

If A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8} , then show that : (i) A cup(BcapC)=(AcupB)cap(A cupC) (ii) A cap(B cupC)=(A capB)cup(A capC) .

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

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'