Question

solve and graph the following inequality: -3x - 6 > -33
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options

Explanation:

Step1: Add 6 to both sides

$$\begin{align*} -3x - 6+6&>-33 + 6\\ -3x&>-27 \end{align*}$$

Step2: Divide both sides by -3 (and reverse the inequality sign)

$$\begin{align*} \frac{-3x}{-3}&<\frac{-27}{-3}\\ x&<9 \end{align*}$$

Answer:

The inequality is \(x < 9\). On the number - line, we have an open circle at \(x = 9\) (since \(x
eq9\)) and the line is shaded to the left of \(9\) towards negative infinity.