Question

solve the inequality and graph the solution.
\\(\frac{h + 12}{8}\geq1\\)
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: Multiply both sides by 8

$h + 12\geq8$

Step2: Subtract 12 from both sides

$h\geq8 - 12$
$h\geq - 4$

To graph:

• Plot a closed - circle at $h=-4$ (since the inequality is $\geq$).
• Draw a ray to the right of $h = - 4$ on the number line.

Answer:

The solution of the inequality is $h\geq - 4$. On the number - line, there is a closed circle at $-4$ and a ray extending to the right.