Question

solve the inequality and graph the solution. 3x + 2 > 8. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable x

Subtract 2 from both sides of the inequality $3x + 2>8$.
$3x+2 - 2>8 - 2$
$3x>6$

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

The solution $x>2$ is a ray starting at 2 (open - circle since 2 is not included) and extending to the right on the number - line.

Answer:

The solution of the inequality is $x>2$. On the number - line, there is an open - circle at 2 and a ray extending to the right.