Question

solve the inequality and graph the solution on the line provided.
-16 + 5x < -26
answer attempt 1 out of 10
inequality notation:
number line:

Explanation:

Step1: Add 16 to both sides

$$\begin{align*} -16 + 5x+16&<-26 + 16\\ 5x&<-10 \end{align*}$$

Step2: Divide both sides by 5

$$\begin{align*} \frac{5x}{5}&<\frac{-10}{5}\\ x&<-2 \end{align*}$$

Answer:

Inequality Notation: \(x < - 2\)

For the number line: Place an open circle at \(-2\) (because the inequality is strict, \(x
eq - 2\)) and shade to the left of \(-2\) (since \(x\) is less than \(-2\)).