Question

solve the inequality and graph the solution on the line
-2x - 5 ≥ -21
answer attempt 1 out of 2
inequality notation:
number line:

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: \(x\leq8\)

For the number line: Place a closed - circle at \(8\) (because the inequality is \(\leq\)) and shade to the left of \(8\) (since \(x\) is less than or equal to \(8\)).