#### Answer

$m\gt-1$ or $m\lt-5$

#### Work Step by Step

$5+m\gt4\longrightarrow$ subtract 5 from each side
$5+m-5\gt4-5\longrightarrow$ subtract
$m\gt-1$
OR
$7m\lt-35\longrightarrow$ divide each side by 7
$7m\div7\lt-35\div7\longrightarrow$ divide
$m\lt-5$
Since -1 and -5 are not included in the solution sets, the endpoints on the graph are open circles.