Give an example of sets A,B and C such that A-(B-C) = (A-B) - C

Give an example of matrices A,B and C such that AB = AC but B ne C, A neO .

For sets A,B and C, prove that : A-(B-C)=(A-B) uu(A nn C) .

For sets A,B and C, prove that : A-(B uu C)=(A-B) nn (A-C) .

For sets A,B and C, prove that : (A-B)nn C=(A nn C)-B .

Given an example of three matrices A, B and C of the same type for which (A-B) + C ne A - (B + C)

Find sets A, B and C such that A nn B , B nn C and A nn C are non-empty sets and A nn B nn C = phi .

For any three sets A, B, C, prove that : Axx(B - C)=(A xx B)- (Axx C) .

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC) .

In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A sub B and B sub C , then A sub C