Try to prove thatSolutiona Let x belongs to AUBC then x belo

Try to prove that

Solution

a)

Let x belongs to AU(B\\C)

then x belongs to either A or (B\\C)

then x belongs to either A or (B but not C)

then x belongs to either (A or B) and (A but not C)

Hence we can write it as

(AUB)\\(C\\A)

b)

Let x belongs to (A\\B)\\C

then x belongs to (A\\B) and not C

then x belongs to A but not B and not C

then x belongs to A but not (B or C(

hence x belongs to A\\(BUC)