Question

solve the inequality and graph the solution on the line provided. 6x + 6 < -30 answer < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line

Explanation:

Step1: Subtract 6 from both sides

$6x+6 - 6<-30 - 6$
$6x<-36$

Step2: Divide both sides by 6

$\frac{6x}{6}<\frac{-36}{6}$
$x < - 6$

Answer:

<, -6
On the number - line, you would place an open circle at - 6 (because the inequality is strict, i.e., $x$ is less than but not equal to - 6) and shade the line to the left of - 6.