Answer
$r\lt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow r-4\lt -6$
Add $4$ to each side.
$\Rightarrow r-4+4\lt -6+4$
Simplify.
$\Rightarrow r\lt -2$
Hence, the solution is $r\lt -2$.
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