Answer
$[7, \infty)$
Work Step by Step
$Solve$ $the$ $linear$ $inequality$. $Express$ $the$ $solution$ $using$ $interval$ $notation$ $and$ $graph$ $the$ $solution$ $set$:
$5-3x \leq -16$
Solve for x
$5-3x \leq -16$
Subtract 5 from both sides
$5-5-3x \leq -16-5$
$-3x \leq -21$
Divide both sides by -3 (Switch the sign as well)
$\frac{-3x}{-3} \leq \frac{-21}{-3}$
$x \geq 7$
Express the solution in interval notation form
$[7, \infty)$
Graph the solution set
