Answer
$-5\leq m$
Work Step by Step
$3m-4\leq6m+11\longrightarrow$ subtract 3m from each side
$3m-4-3m\leq6m+11-3m\longrightarrow$ subtract
$-4\leq3m+11\longrightarrow$ subtract 11 from each side
$-4-11\leq3m+11-11\longrightarrow$ subtract
$-15\leq3m\longrightarrow$ divide both sides by 3
$-15\div3\leq3m\div3\longrightarrow$ divide
$-5\leq m$