Question

solve and graph -3x + 5 > -16

Explanation:

Step1: Subtract 5 from both sides

$-3x+5 - 5>-16 - 5$
$-3x>-21$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-3x}{-3}<\frac{-21}{-3}$
$x < 7$

To graph, draw an open circle at 7 on the number - line (because the inequality is $x < 7$, not $x\leq7$) and shade the line to the left of 7.

Answer:

The solution of the inequality is $x < 7$. On the number - line, an open circle is placed at 7 and the line is shaded to the left of 7.