if `U = {1,2,3,4,5,6,7,8,9}, A = {2,4,6,8} and B ={2,3,5,7}`, verify that :
(i)` (A cup B) '=(A'cap B')`
(ii) `(A cap B) '=(Acup B')`

If U= {1,2,3,4,5,6,7,8,9}, A= {2,4,6,8}, B {2,3,5,7} . Verify that : (i) (AuuB)=AcapB .

Let U={1,2,3,4,5,6,7,8,9}A={1,2,4,6,8} and B={2,3,5,7} Verify that (i)(A uu B)'=A'nn B'ii)(A nn B)'=A'uu B'

Let U={1,2,3,4,5,6,7,8,9},A = {2,4,6,8} and B={2,3,5,7} . Verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

Let U={1,2,3,4,5,6,7,8,9},A={2,4,6,8}andB={2,3,5,7} Verify that: (A uu B)'=A'nn B'(ii)(A nn B)'=A'uu B'

(a) If U= {1,2,3,……, 10} ,A = { 1,2,3,4,5}, B= {1,3,5,7,9} , C {2,4,8,10}, verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) (iii) A-B=AcapB^(c) (iv) Acap(BuuC)=(AcapB)uu(AcapC) . (b) If U={1,2,3,4,5,6,7,8,9}, A={2,4,6,8} and B= {2,3,5,7}. Veify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

If U={a,b,c,d,e}, A = (a,b,c} and B= {a,b,c,d,e} then verify that: (i) (Acup B) ' =( Acap B') (ii) (A cap B)' =(A cup B') .

If U={1,2,3,...9},A={2,4,6,8} and B={2,3,5,7} then verify that (A uu B)'=A'nn B'

If U={1,2,3,4,5,6,7,8},A={3,4,5,6}and B={1,3,5,7} , then find each of the following : (i) A'cupB' (ii) A ' capB' (iii) (A cup B)' (iv) A' -B' .

Let A= {2,3,5,7,11,13,} and B={5,7,9,11,15} be subsets of U={2,3,5,7,9,11, 13, 15} . Using Venn diagrams, verify that : (i) (A cup B)' =(A' capB') (ii) (A cap B)'=(A'cup B')