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Question

If $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 close curly brackets comma blank B equals open curly brackets 2 comma blank 4 comma blank 6 close curly brackets comma blank C equals left curly bracket 3 comma blank 4 comma blank 6 right curly bracket$ , then $left parenthesis A union B right parenthesis intersection C$ is

{3, 4, 6}
{1, 2, 3}
{1, 4, 3}
None of these

The correct answer is: {3, 4, 6}

$because blank A union B equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 comma blank 6 close curly brackets$
$therefore blank open parentheses A union B close parentheses intersection C equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 comma blank 6 close curly brackets intersection open curly brackets 3 comma blank 4 comma blank 6 close curly brackets$
$equals left curly bracket 3 comma blank 4 comma blank 6 right curly bracket$

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