Question

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

$2\times2>\frac{d}{2}\times2$

Step2: Simplify the inequality

$4 > d$ or $d<4$

To graph:

1. On the number - line, place an open - circle at $d = 4$ (because the inequality is $d<4$, not $d\leq4$).
2. Shade the line to the left of the open - circle to represent all the values of $d$ that satisfy the inequality.

Answer:

The solution of the inequality is $d < 4$. On the number - line, there is an open - circle at 4 and the line is shaded to the left of 4.