Question

Solve the inequality and graph the solution.
8t–6>10

Answer 1

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.