Question

solve the inequality and graph the solution on the line provided. -3x + 7 < 4 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Subtract 7 from both sides

$$\begin{align*} -3x+7 - 7&<4 - 7\\ -3x&<-3 \end{align*}$$

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

$$\begin{align*} \frac{-3x}{-3}&>\frac{-3}{-3}\\ x&>1 \end{align*}$$

Answer:

Inequality Notation: \(x > 1\)

For the number line: Place an open circle at \(x = 1\) (since \(1\) is not included in the solution) and draw an arrow to the right (towards larger numbers) to represent all values of \(x\) greater than \(1\).