Question

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

2x + 3 < -7

answer attempt 2 out of 2

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Subtract 3 from both sides

$$\begin{align*} 2x+3 - 3&<-7 - 3\\ 2x&<-10 \end{align*}$$

Step2: Divide both sides by 2

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

Answer:

Inequality Notation: \(x < - 5\)

To graph on the number line: Place an open circle at \(-5\) (because the inequality is strict, \(x
eq - 5\)) and draw an arrow to the left (since \(x\) is less than \(-5\)).