Question

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

-3x + 7 < 19

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 7 from both sides

$$\begin{align*} -3x+7 - 7&<19 - 7\\ -3x&<12 \end{align*}$$

Step2: Divide both sides by -3 and reverse the inequality sign

$$\begin{align*} \frac{-3x}{-3}&>\frac{12}{-3}\\ x&>- 4 \end{align*}$$

Answer:

Inequality Notation: \(x > - 4\)

To graph on the number line: Place an open circle at \(-4\) (because the inequality is strict, \(x
eq - 4\)) and draw an arrow to the right.