Question

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

2 + 2x < -12

answer attempt 1 out of 2

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 2 from both sides

$$\begin{align*} 2 + 2x-2&<-12 - 2\\ 2x&<-14 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2x}{2}&<\frac{-14}{2}\\ x&<-7 \end{align*}$$

Answer:

Inequality Notation: \(x < - 7\)

For the number - line: Place an open circle at \(-7\) (because the inequality is strict, i.e., \(x
eq - 7\)) and draw an arrow to the left (since \(x\) is less than \(-7\)).