Question

solve the inequality and graph the solution on the line provided. -6x + 2 > 32 answer attempt 2 out of 2 < > ≤ ≥ or inequality notation: x < -5 number line: submit answer

Explanation:

Step1: Subtract 2 from both sides

$$\begin{align*} -6x+2 - 2&>32 - 2\\ -6x&>30 \end{align*}$$

Step2: Divide both sides by -6 and reverse the inequality sign

$$\begin{align*} \frac{-6x}{-6}&<\frac{30}{-6}\\ x&<-5 \end{align*}$$

Answer:

Inequality Notation: \(x < - 5\)

For graphing on the number line:

• Draw a number line.
• Place an open circle at \(-5\) (because the inequality is strict, \(x

eq - 5\)).

• Shade the part of the number line to the left of \(-5\) (since \(x\) is less than \(-5\)).