Algebra 1

$m\gt-1$ or $m\lt-5$
$5+m\gt4\longrightarrow$ 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.