Use Venn diagrams to verify De Morgan's law for set difference $A ∖ (B \cap C) = (A ∖ B) \cup (A ∖ C)$ .

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Solution

$A ∖ (B \cap C) = (A ∖ B) \cup (A ∖ C)$
From (1) and (2), we have
$A ∖ (B \cap C) = (A ∖ B) \cup (A ∖ C)$

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