Question

graph the following inequality.
6x > 24

Explanation:

Step1: Solve the inequality for x

To solve \(6x > 24\), we divide both sides by 6. So, \(\frac{6x}{6}>\frac{24}{6}\), which simplifies to \(x > 4\).

Step2: Graph the solution on a number line

• Draw a number line.
• Locate the number 4 on the number line. Since the inequality is \(x > 4\) (not \(x\geq4\)), we use an open circle at 4 to indicate that 4 is not included in the solution set.
• Then, draw an arrow to the right of 4 to show that all numbers greater than 4 are part of the solution.

Answer:

The solution to the inequality \(6x > 24\) is \(x > 4\), and its graph has an open circle at 4 with an arrow pointing to the right on the number line.