Solve the inequality and graph the solution.

Question

2m>8
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \(2m > 8\), follow these steps:

1. Divide both sides by 2: \[ m > 4 \]

This means that the solution includes all values of \(m\) that are greater than \(4\).

Graphing the solution:

1. Identify the endpoint: The inequality \(m > 4\) has a critical point at \(m = 4\).

2. Choose the type of endpoint: Since the inequality does not include \(4\) (indicated by the 'greater than' sign), we will use an open circle at \(4\).

3. Shade the appropriate area: Since we are looking for values greater than \(4\), we will shade the area to the right of \(4\).

Final Graph:

• An open circle at \(4\) (indicating \(4\) is not included).
• A shaded line extending to the right from \(4\) (indicating all values greater than \(4\) are included).

Below is a representation of the graph:

-------------------(4)================>

The > indicates that the values greater than \(4\) are part of the solution, shown by the shaded area extending to the right.