Question

question
solve the inequality and graph the solution on the line provided.
-2x - 5 ≥ -21
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Add 5 to both sides

$$\begin{align*} -2x - 5+5&\geq -21 + 5\\ -2x&\geq -16 \end{align*}$$

Step2: Divide both sides by -2 (and reverse the inequality sign)

$$\begin{align*} \frac{-2x}{-2}&\leq\frac{-16}{-2}\\ x&\leq8 \end{align*}$$

Answer:

Inequality Notation: \(x\leq8\). On the number - line, plot a closed circle at 8 (because the inequality includes equality, \(\leq\)) and draw a line to the left of 8.