Question

directions: solve each inequality and graph the solution 16. 3x + 2 < -4

Explanation:

Step1: Isolate the term with x

Subtract 2 from both sides of the inequality $3x + 2<-4$.
$3x+2 - 2<-4 - 2$
$3x<-6$

Step2: Solve for x

Divide both sides of the inequality $3x<-6$ by 3.
$\frac{3x}{3}<\frac{-6}{3}$
$x < - 2$

Step3: Graph the solution

On the number - line, draw an open circle at - 2 (because the inequality is strict, $x
eq - 2$) and shade the line to the left of - 2.

Answer:

$x < - 2$; On the number - line, an open circle at - 2 and shading to the left.