For any 3 sets A, B and C, prove that :
(i) `A-(B cupC)=(A-B)cap(A-C)`
(ii) `A-(BcapC)=(A-B)cup(A-C)`
(iii) `A cap(B-C)= (A cap B) - (A cap C)`
(iv) `(A cupB)-C=(A-C)cup(B-C)`
(v) `A cap (B DeltaC)=(A capB)Delta(A capC)`.

Explanation

To prove the given set identities, we will use the definitions of set operations and properties such as distributive laws, De Morgan's laws, and the properties of intersections and unions. Let's tackle each part step by step.

### (i) Prove that \( A - (B \cup C) = (A - B) \cap (A - C) \)

**Step 1:** Start with the left-hand side (LHS):
\[ A - (B \cup C) = A \cap (B \cup C)' \]
...