Question

solve the inequality 9 + 6h < 3 and graph the solution. 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 term

Subtract 9 from both sides of the inequality $9 + 6h<3$.
$9+6h - 9<3 - 9$
$6h<-6$

Step2: Solve for h

Divide both sides of the inequality $6h < - 6$ by 6. Since 6 is positive, the direction of the inequality sign remains the same.
$\frac{6h}{6}<\frac{-6}{6}$
$h < - 1$

Step3: Graph the solution

On the number - line, the solution $h < - 1$ is represented by an open circle at - 1 (because the inequality is strict, $h
eq - 1$) and a ray pointing to the left.

Answer:

The solution of the inequality is $h < - 1$. On the number - line, place an open circle at - 1 and draw a ray to the left.