Answer
$3\frac{1}{5}\geq m$
Work Step by Step
$-3(4-m)\geq2(4m-14)\longrightarrow$ multiply using the distributive property
$-12+3m\geq8m-28\longrightarrow$ add 28 and subtract 3m from each side
$-12+3m+28-3m\geq8m-28+28-3m\longrightarrow$ combine like terms
$16\geq5m\longrightarrow$ divide each side by 5
$16\div5\geq5m\div5\longrightarrow$ divide
$3\frac{1}{5}\geq m$