Answer
$\{m\ |\ m\gt-5\}$
Work Step by Step
Solve the inequality.
$13-9m\lt58\longrightarrow$ subtract 13 from each side
$13-9m-13\lt58-13\longrightarrow$ subtract
$-9m\lt45\longrightarrow$ divide each side by -9; reverse the inequality sign
$-9m\div-9\gt45\div-9\longrightarrow$ divide
$m\gt-5$
The solution is written in the criteria area of the set-builder notation.
