Question

question
solve for x and graph the solution on the number line below.
16 ≥ -5x - 9 ≥ -44
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 9 to all parts

$16 + 9 \geq -5x - 9 + 9 \geq -44 + 9$
$25 \geq -5x \geq -35$

Step2: Divide by -5, reverse inequalities

$\frac{25}{-5} \leq \frac{-5x}{-5} \leq \frac{-35}{-5}$
$-5 \leq x \leq 7$

Answer:

Inequality Notation: $\boldsymbol{-5 \leq x \leq 7}$

For the number line:

• Plot a closed circle at $-5$ and a closed circle at $7$.
• Draw a solid line segment connecting these two circles to represent all values between and including $-5$ and $7$.