(ii)` (axxb)=(bxxa)`

Let A={a,b,c,d},B={c,d,e} and C={d,e,f,g} . Then verify each of the following identities: (i) Axx(BnnC)=(AxxB)nn(AxxC) (ii) Axx(B-C)=(AxxB)-(AxxC) (iii) (AxxB)nn(BxxA)=(AnnB)xx(AnnB)

If A={1,2,3},B={3,4}" and "C={4,5,6} then find: (i) Axx(BnnC) (ii) (AxxB)nn(AxxC) (iii) Axx(BuuC) (iv) (AxxB)uu(AxxC)

If A={1,3,5}" and "B={2,3} then find: (i) AxxB" "(ii) BxxA" "(iii) (AxxB)nn(BxxA)

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) .

State whether the statements are true or false axxb=bxxa

If A and B be two sets such that n(A)=3,n(B)=4" and "n(AnnB)=2 then find: (i) n(AxxB)" " (ii) n(BxxA)" "(iii) n{(AxxB)nn(BxxA)}

Let A and B be two nonempty sets such that n(A)=5,n(B)=6 and n(AnnB)=3. Find (i) n(AxxB), (ii) n(BxxA)" and "(iii) n{(AxxB)nn(BxxA)}.

Let A and B be two sets such that n(A)=5,n(B)=3" and "n(AnnB)=2. (i) n(AuuB)" "(ii) n(AxxB)" "(iii) n{(AxxB)nn(BxxA)} Hint (i) n(AuuB)=n(A)+n(B)-n(AnnB). (ii) n(AxxB)=n(A).n(B) (iii) If n(AnnB)=m" then "n{(AxxB)nn(BxxA)}=2^(m).

Let A={-3,-1},B={1,3}" and "C={3,5}. Find: (i) AxxB (ii) (AxxB)xxC (iii) BxxC Axx(BxxC)

If A={1,3,5},B={3,4}" and C={2,3} , verify that : (i) Axx(BuuC)=(AxxB)uu(AxxC) (ii) Axx(BnnC)=(AxxB)nn(AxxC)