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) .

Find the products given below and in each case verify the result for a=1,b=2 and c=3: ((-4)/(7)a^(2)b)xx((-2)/(3)b^(2)c) xx((-7)/(6)c^(2)a)

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

The rationalising factor of root(7)(a^(4)b^(3)c^(5)) is (a) root(7)(a^(3)b^(4)c^(2)) (b) root(7)(a^(3)b^(4)c^(2)) (c) root(7)(a^(2)b^(3)c^(3)) (d) root(7)(a^(2)b^(4)c^(3))

Verify that (A nn B)'=A'uu B' ,where A={2,3, 4, 5, 6} , B={3,6,7,8} are subsets of U={1,2,3,4,5,6,7,8}

Verify that (A nn B)'=A'uu B ,where A={2,3 ,4,5,6},B={3,6,7,8} are subsets of U={1,2,},{3,4,5,6,7,8}

If a :b::3:4 & b:c:: 4:7. then (a +b + c)/( c ) = ?

If A={2,5} , B={3,4,7} and C={3,4,8} then evaluate AxxB , BxxA , AxxA and verify that (i) Axx(B-C)=(AxxB)-(AxxC) (ii)Axx(BuuC)=(AxxB)uu(AxxC) .