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# If $A=\{3,5,7,9,11\},B=\{7,9,11,13\},C=\{11,13,15\}$ and $D=\{15,17\}$.Find (viii) $A\cap (B \cup D)$

$\begin{array}{1 1}(A)\;\{3,5,7,9,11\}&(B)\;\{7,9,11,13\}\\(C)\;\{11,13,15\}&(D)\;\{7,9,11\}\end{array}$

## 1 Answer

$A=\{3,5,7,9,11\}$
$B=\{7,9,11,13\}$
$D=\{15,17\}$
$B \cup D=\{7,9,11,13\}\cup \{15,17\}$
$\Rightarrow \{7,9,11,13,15,17\}$
$\therefore A\cap (B\cup D)=\{3,5,7,9,11\}\cap \{7,9,11,13,15,17\}$
$\Rightarrow \{7,9,11\}$
Hence (D) is the correct answer.
answered May 27, 2014

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