Question

solve the inequality and graph the solution on the line provided.

-5x - 3 ≤ 32

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Add 3 to both sides

$$\begin{align*} -5x - 3+3&\leq32 + 3\\ -5x&\leq35 \end{align*}$$

Step2: Divide both sides by - 5 and reverse the inequality sign

$$\begin{align*} \frac{-5x}{-5}&\geq\frac{35}{-5}\\ x&\geq - 7 \end{align*}$$

Answer:

Inequality Notation: \(x\geq - 7\)

For the number - line: Place a closed circle at \(-7\) (because the inequality is \(\geq\)) and shade to the right of \(-7\) on the number - line.