Question

graph the accurate solution from problem 3 on the open number line below.

Explanation:

Step1: Solve the inequality

Given \(-p\geq6\). Multiply both sides by \(- 1\). When multiplying an inequality by a negative number, the direction of the inequality sign changes. So \(p\leq - 6\).

Step2: Graph the solution on the number - line

On the number - line, place a closed circle at \(-6\) (because the inequality is \(\leq\), so \(-6\) is included in the solution set). Then draw an arrow to the left of \(-6\) to represent all the numbers less than or equal to \(-6\).

Answer:

Graph a closed circle at \(-6\) and an arrow to the left on the number - line.