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Show that $A \times (B \cap C) = (A \times B) \cap (A \times C)$

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 4 Marks

Year: May 2014

1 Answer
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Let (a, b) be an arbitrary element of A x (B Ո C). Then

(a, b) € A x (B Ո C)

-> a € A and b € (B Ո C)

-> a € A and (b € B and b € C)

-> (a € A and b …

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