Answer
$(-\infty,-5)$ or $[5,\infty)$
Work Step by Step
$f+14\lt9\longrightarrow$ subtract 14 from each side
$f+14-14\lt9-14\longrightarrow$ subtract
$f\lt-5$
OR
$-9f\leq-45\longrightarrow$ divide each side by -9; reverse the equality sign
$-9f\div-9\geq-45\div-9\longrightarrow$ divide
$f\geq5$
A parenthesis indicates that -5 is not included in the solution set, while a square bracket indicates that 5 is included in the solution set.