Question

solve the inequality and graph the solution.
\\( \frac { p } { 2 } \geq 3 \\)
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.
submit

Explanation:

Step1: Solve the inequality

Multiply both sides of the inequality \(\frac{p}{2}\geq3\) by \(2\) to isolate \(p\).
$$\frac{p}{2}\times2\geq3\times2$$

Step2: Simplify

Simplify the left - hand side \(\frac{p}{2}\times2 = p\) and the right - hand side \(3\times2=6\). So, \(p\geq6\).

Step3: Graph the solution

On the number line, plot a closed circle at \(6\) (because the inequality is \(\geq\), so \(6\) is included in the solution set) and draw an arrow to the right (since \(p\) is greater than or equal to \(6\)).

Answer:

The solution of the inequality is \(p\geq6\). On the number line, there is a closed circle at \(6\) and an arrow pointing to the right.