Find the component statements of the following compound statement and check whether they are true or false.
$100$ is divisible by $3, 11$ and $5$.
$100$ is divisible by $3, 11$ and $5$.
The component statements are as follows:
$p: 100$ is divisible by $3$.
$q: 100$ is divisible by $11$.
$r: 100$ is divisible by $5$.
Checking the truth values:
$100$ is not divisible by $3$,so $p$ is false.
$100$ is not divisible by $11$,so $q$ is false.
$100$ is divisible by $5$,so $r$ is true.
$p: 100$ is divisible by $3$.
$q: 100$ is divisible by $11$.
$r: 100$ is divisible by $5$.
Checking the truth values:
$100$ is not divisible by $3$,so $p$ is false.
$100$ is not divisible by $11$,so $q$ is false.
$100$ is divisible by $5$,so $r$ is true.
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