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Venn Diagram

Given μ= ...

Question

Given $μ =$ { $x / x$ is an integer, $1 \leq x \leq 12$ };
$A =$ { $x / x$ is multiple of $2$ }
$B =$ { $x / x$ is multiple of $3$ }
$C =$ { $x / x$ is multiple of $4$ }
Find $A \cap B \cap C$ and represent it in a Venn diagram

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Solution

$μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}$
$A = {2, 4, 6, 8, 10, 12}$
$B = {3, 6, 9, 12}$
$C = {4, 8, 12}$
$A \cap B = {6, 12}$
$A \cap C = {4, 8, 12}$
$B \cap C = {12}$
$A \cap B \cap C = {12}$

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