For sets A, B,C , show that `(A-B) cup (A-C) = A -(B cup C)`
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To prove that \((A - B) \cup (A - C) = A - (B \cup C)\), we will show that each side is a subset of the other.
### Step 1: Show that \((A - B) \cup (A - C) \subseteq A - (B \cup C)\)
Let \(x\) be an arbitrary element of \((A - B) \cup (A - C)\). By the definition of union, this means that:
- \(x \in (A - B)\) or \(x \in (A - C)\).
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