Question

solve for x and graph the solution on the number line below. -31 > 5x + 9 ≥ -41 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Subtract 9 from all parts

$$\begin{align*} -31 - 9&>5x+9 - 9\geq - 41-9\\ -40&>5x\geq - 50 \end{align*}$$

Step2: Divide all parts by 5

$$\begin{align*} \frac{-40}{5}&>\frac{5x}{5}\geq\frac{-50}{5}\\ -8&>x\geq - 10 \end{align*}$$

Answer:

Inequality Notation: $-10\leq x<-8$

To graph on the number line: Place a closed circle at $-10$ (because of the $\geq$ sign) and an open circle at $-8$ (because of the $>$ sign), then shade the region between them.