To solve the inequality \(2m > 8\), follow these steps:
- 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:
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Identify the endpoint: The inequality \(m > 4\) has a critical point at \(m = 4\).
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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 \(4\).
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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.