Question

$A,B$ and $C$ are subsets of Universal Set $U$. If
$A=\{2,4,6,8,12,20\}$,
$B=\{3,6,9,12,15\}$,
$C=\{5,10,15,20\}$ and $U$ is the set of all whole numbers, draw a Venn diagram showing the relation of $U,A,B$ and $C$

Answer 1

Given : $A=\{2,4,6,8,12,20\}$

$B=\{3,6,9,12,15\},C=\{5,10,15,20\}$

$U=\left\{x|x\text{is a whole number}\right\}$

$\because A\subset U,B\subset U$ and $C\subset U$

$A\cap B=\{6,12\}$

$(\because$ Using property of union and intersection of sets)

$B\cap C=\left\{15\right\}$

$C\cap A=\left\{20\right\}$

$A\cap B\cap C=\left\{\right\}$