Question

1. the class needs more than 600 points for a reward. they already have 455 points and will earn p more points from a project. graph the following inequality 455 + p > 600

Explanation:

Step1: Solve the inequality

$$\begin{align*} 455 + p &> 600\\ 455 + p-455&>600 - 455\\ p&>145 \end{align*}$$

Step2: Graph the inequality

1. Draw a number line.
2. Locate the point \(p = 145\) on the number line.
3. Since \(p>145\), draw an open circle at \(p = 145\) (because \(p = 145\) is not included in the solution set).
4. Shade the part of the number line to the right of the open circle.

Answer:

The solution of the inequality \(455 + p>600\) is \(p>145\). The graph has an open circle at \(145\) on the number - line and the line is shaded to the right of \(145\).