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To solve the inequality 8t - 6 > 10, we will first isolate the variable t.
First, we add 6 to both sides:
8t - 6 + 6 > 10 + 6
This simplifies to:
8t > 16
Next, we divide both sides by 8:
(8t)/8 > 16/8
This simplifies to:
t > 2
So the solution to the inequality is t > 2.
To graph the solution, we draw a number line and plot a closed circle at 2, indicating that 2 is not included in the solution. Then, we shade the line to the right of 2, to represent all the values greater than 2.