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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  Sets

If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]' $ = ?

$\begin{array}{1 1} A' \cup B' \cup C' \\A'\cap B'\cap C' \\ A'\cap B'\cup C' \\ A\cap B\cup C \end{array}$

1 Answer

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  • $(A\cup B)'=A'\cap B'$
  • $(A\cap B)'=A'\cup B'$
$[(A\cup B)\cap C]'=(A\cup B)'\cup C'$
$=A'\cap B'\cup C'$
answered May 15, 2013 by rvidyagovindarajan_1