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:

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: $-5\leq x\leq7$

For the number line: Plot a closed - circle at $x = - 5$ and $x = 7$, and draw a line segment connecting them.