Verify that a+(b+c)=(a+b)+c by taking a=`(-3)/(4)`,b=`(5)/(6)`,c=`(7)/(8)`

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) .

(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) .

Add: 6a + 8b - 5c, 2b + c - 4a and a - 3b - 2c.

Verify (B+C) A =BA +CA if A = [(2,3),(4,-5)] ,B= [(3,8),(11,21)] and C = [(7,13),(5,19)] .

If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : (i) a:b=c:d (ii) (4a - 5b)/(4c - 5d)= (3a + 4b)/(3c + 4d)

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}, verify: (i) A-(B cup C) =(A-B) cap (A-C) (ii) A-(B cap C) =(A-B) cup (A-C)

Let A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8}. Verify that (i) A xx (B cap C)=(A xx B) cap (A xx C), (ii) A xx C is a subset of B xx D

Let A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8}. Verify that (i) A xx (B cap C)=(A xx B) cap (A xx C), (ii) A xx C is a subset of B xx D

Let A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8}. Verify that (i) A xx (B cap C)=(A xx B) cap (A xx C), (ii) A xx C is a subset of B xx D

If A = {4,5,6,8,9}, B = {4,5,8} and C = {3,4,8,9}.Verify the following results, A cap (B cup C) = (A cap B) cup (A cap C)