`a=-8,b=-7,c=6`, verify that `(a+b)+c=a+(b+c)`

If A = {a,b,c,d,e }, B= {a,c,e, g} and C = {b,e, f,g} verify that : (i) A cap (B-C) =(A cap B) -(A cap C) (ii) A- (Bcap C) =(A-B)cup (A-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)

If A=[[1,0,5],[3,2,7],[5,4,8]],B=[[3,1,2],[9,0,-6],[7,4,1]],C=[[2,0,-1],[7,5,6],[1,1,4]] , verify that A+(B+C)=(A+B)+C

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) .

If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

(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 A=[0 6 7-6 0 8 7-8 0] , B=[0 1 1 1 0 2 1 2 0] , C=[2-2 3] Calculate AC, BC and (A" "+" "B)C . Also, verify that (A" "+" "B)C" "=" "A C" "+" "B C