Question

solve the inequality and graph the solution.
\\(\frac{r}{2} > 4\\)
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
(number line with marks at 0,1,2,3,4,5,6,7)

Explanation:

Step1: Multiply both sides by 2

To solve the inequality \(\frac{r}{2} > 4\), we multiply both sides by 2 to isolate \(r\).

$$ \frac{r}{2} \times 2 > 4 \times 2 $$

Step2: Simplify both sides

Simplifying the left side gives \(r\) and the right side gives 8. So we have:

$$ r > 8 $$

Answer:

The solution to the inequality is \(r > 8\). To graph it, plot an open circle at 8 (since the inequality is strict, \(r\) is not equal to 8) and draw an arrow to the right on the number line to represent all values greater than 8.