Question

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

2 + 2x < -12

answer attempt 1 out of 2

<>leqgeq or

inequality notation:

number line:

Explanation:

Step1: Subtract 2 from both sides

$$2 + 2x-2<-12 - 2$$
$$2x<-14$$

Step2: Divide both sides by 2

$$\frac{2x}{2}<\frac{-14}{2}$$
$$x < - 7$$

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 shade the line to the left of \(-7\) (since \(x\) is less than \(-7\)).