Question

current skill $ solve and graph the following inequality: 8x > -72 provide an answer accurate to the nearest tenth. inequality: graph: number line options

Explanation:

Step1: Solve the inequality

Divide both sides of \(8x > - 72\) by \(8\).
\(x>\frac{-72}{8}\)

Step2: Calculate the value

\(\frac{-72}{8}=-9\), so \(x > - 9\)

Answer:

\(x>-9\)

To graph \(x > - 9\) on a number line:

• Draw a number line.
• Locate the point \(-9\).
• Since the inequality is \(x > - 9\) (not \(x\geq - 9\)), we use an open circle at \(-9\).
• Then draw an arrow to the right of \(-9\) to represent all the numbers greater than \(-9\).