This question can be done using truth tables, but it would take a really long time!The set (A\B)\C is equal for all sets A,B and C to one of the following sets:

i). A\(B $\displaystyle \cap$ C)

ii). A\(B\C)

iii). A\(B $\displaystyle \cup$ C)

Which one?

I was wondering if there was a way to do it using De Morgan's laws. This is what i've done so far:

(A\B)\C=(A\B) $\displaystyle \cap C^c$=$\displaystyle (A \cap B^c)\cap C^c$

I'm not sure where to go from here. I tried expanding the other expressions to see if I could get to this, but it hasn't worked.