3. Prove De Morgan's law for set difference

If \(A = \{\)0, 6, 12, 19, 20\(\}\), \(B = \{\)5, 6, 9, 15, 19\(\}\) and \(C = \{\)0, 5, 19, 22\(\}\), then prove De Morgan's law of set difference and hence determine \((A - B) \cup (A - C)\).

1. De Morgan's law of set difference:

\(A - (B \cap C) = (A - B) \cap (A - C)\)
\(A - (B \cap C) = (A - B) \cup (B - C)\)
\(A - (B \cup C) = (A - B) \cup (A - C)\)
\(A - (B \cap C) = (A - B) \cup (A - C)\)

2. \((A - B) \cup (A - C)\)

$\{5, 19\}$
$\{0, 12, 20\}$
$\{0, 6, 12, 20\}$
$\{6, 12, 20\}$

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