Answer
$b\geq-2$
Work Step by Step
$7-6b\leq19\longrightarrow$ subtract 7 from each side
$7-6b-7\leq19-7\longrightarrow$ subtract
$-6b\leq12\longrightarrow$ divide each side by -6; reverse the inequality sign
$-6b\div-6\geq12\div-6\longrightarrow$ divide
$b\geq-2$
