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The solution interval is
.
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To solve the inequalities, let’s break them down one at a time.
For the first inequality
:
- Subtract 8 from both sides:
- Divide by 6:
For the second inequality
:
- Subtract 9 from both sides:
- Divide by 10:
Now we’ll combine the results. Since the solution requires either condition to be satisfied, the solution will be
or
.
In interval notation, this is represented as:
So, the final solution in interval notation is: