Question

solve the inequality and graph the solution.
-2p + 4.5 > -2.9

Explanation:

Step1: Subtract 4.5 from both sides

$$\begin{align*} -2p+4.5 - 4.5&>-2.9 - 4.5\\ -2p&>-7.4 \end{align*}$$

Step2: Divide both sides by -2 (and reverse the inequality sign)

$$\begin{align*} \frac{-2p}{-2}&<\frac{-7.4}{-2}\\ p&<3.7 \end{align*}$$

Answer:

The solution of the inequality is \(p < 3.7\). On the number - line, it is represented by an open - circle at \(3.7\) (since \(p\) is not equal to \(3.7\)) and the line extending to the left.