Question

solve for x and graph the solution on the number line below.
16 ≥ -5x - 9 ≥ -44
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
click and drag to plot lines.
submit answer

Explanation:

Step1: Add 9 to all parts

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

Step2: Divide all parts by -5 and reverse inequalities

$$\frac{25}{-5}\leq\frac{-5x}{-5}\leq\frac{-35}{-5}$$
$$- 5\leq x\leq7$$

Answer:

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

To graph on the number - line: Place a closed circle at $x = - 5$ (since $x=-5$ is included in the solution set, because of the $\leq$ sign) and a closed circle at $x = 7$ (since $x = 7$ is included in the solution set). Then draw a line segment connecting these two points.