To solve the inequality \( s - 2 > 6 \), we can follow these steps:
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Isolate \( s \): \[ s - 2 > 6 \] Add 2 to both sides: \[ s > 6 + 2 \] Simplifying the right side gives: \[ s > 8 \]
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Graph the solution: The solution \( s > 8 \) means all numbers greater than 8.
- We will plot an open circle at the point \( s = 8 \) to indicate that 8 is not included in the solution.
- We will then shade to the right of 8 to represent all numbers greater than 8.
Here is a rough representation of the graph:
<-----o====================>
8
In this graph:
- The 'o' at 8 indicates that it is an open endpoint (not included).
- The line shows that the solutions go to the right of 8, representing all values greater than 8.
So, the solution to the inequality \( s - 2 > 6 \) is \( s > 8 \), and it is represented graphically with an open circle at 8 and shading to the right.