Question

solve and graph the following inequality: ( 5x + 11.2 leq -28.8 ) provide an answer accurate to the nearest tenth. inequality: graph

Explanation:

Step1: Subtract 11.2 from both sides

$$\begin{align*} 5x+11.2 - 11.2&\leq-28.8 - 11.2\\ 5x&\leq-40 \end{align*}$$

Step2: Divide both sides by 5

$$\begin{align*} \frac{5x}{5}&\leq\frac{-40}{5}\\ x&\leq - 8.0 \end{align*}$$

Answer:

The inequality is \(x\leq - 8.0\). To graph it, on a number - line, place a closed circle at \(-8.0\) (because the inequality includes equality, \(\leq\)) and shade to the left of \(-8.0\).