For all sets A, B and `C, A - (B - C) = (A - B) - C`.

For all sets A, B and C, if A⊂ C and B ⊂ C,then A∪ B ⊂ C.

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For all sets A, B and C, if A sub B , then A uu C sub B uu C .

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For all sets A, B and C, if A sub B , then A uu C sub B uu C .

Applying the properties of sets prove the identity for any three sets A, B and C. A-(B nn C)=(A-B) uu (A-C)

For all sets A, B and C, if A sub B , then A cup C sub B cup C .

For all sets A, B and C, if A sub B , then A cap C sub B cap C .

For all sets A,B and C : Is (A-B) cap(C-B)=(AcapC)-B ? Justify your answer :

For all set A,B and C is (A cap B)cupC = A cap (B cup C) ?Justify your answer.