Answer
($-\infty, 2]$
Work Step by Step
$Solve$ $the$ $linear$ $inequality$. $Express$ $the$ $solution$ $using$ $interval$ $notation$ $and$ $graph$ $the$ $solution$ $set$:
$7-x \geq 5$
Solve for x
$7-x \geq 5$
Subtract 7 from both sides
$7-7-x \geq 5-7$
$-x \geq -2$
Divide both sides by -1 (Switch the sign as well)
$\frac{-x}{-1} \geq \frac{-2}{-1}$
$x \le 2$
Express the solution in interval notation form
($-\infty, 2]$
Graph the solution set
