Question

solve the inequality and graph the solution.
-2 > \frac{g}{2}
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 2

Multiply both sides of -2 > $\frac{g}{2}$ by 2 to isolate g.
$2\times(-2)>2\times\frac{g}{2}$
$-4 > g$ or $g < - 4$

Step2: Graph the solution

The inequality is $g < - 4$. The endpoint is -4. Since the inequality is strict (<), we use an open - circle at -4 on the number line and draw a ray to the left.

Answer:

The solution of the inequality is $g < - 4$. On the number - line, place an open - circle at -4 and draw a ray to the left.