Question

solve for $x$ and graph the solution on the number line below. $16\geq -5x - 9\geq -44$ answer attempt 1 out of 3 $< > \leq \geq$ or inequality notation: number line: submit answer

Explanation:

Step1: Add 9 to all parts

$$\begin{align*} 16+9&\geq -5x-9 + 9\geq -44+9\\ 25&\geq -5x\geq -35 \end{align*}$$

Step2: Divide all parts by -5 (reverse inequalities)

$$\begin{align*} \frac{25}{-5}&\leq\frac{-5x}{-5}\leq\frac{-35}{-5}\\ -5&\leq x\leq7 \end{align*}$$

Answer:

Inequality Notation: $-5\leq x\leq7$

To graph on the number line: Place a closed circle at $-5$ (since $x = - 5$ is included) and at $7$ (since $x = 7$ is included), and draw a line segment connecting these two points.