#### Answer

$\{r\ |\ r\lt11\}$

#### Work Step by Step

Solve the inequality.
$5r+8\lt63\longrightarrow$ subtract 8 from each side
$5r+8-8\lt63-8\longrightarrow$ subtract
$5r\lt55\longrightarrow$ divide each side by 5
$5r\div5\lt55\div5\longrightarrow$ divide
$r\lt11$
The solution is written in the criteria area of the set-builder notation.