Question

solve the inequality and graph the solution.
t - 7 > 1
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable t

Add 7 to both sides of the inequality $t - 7>1$.
$t-7 + 7>1 + 7$

Step2: Simplify the inequality

$t>8$

To graph the solution on the number - line:

1. Since the inequality is $t>8$, the endpoint is 8. We use an open - circle at 8 (because 8 is not included in the solution set, as the inequality is strict, i.e., $t$ is greater than 8, not greater than or equal to 8).
2. Then we draw a ray to the right of 8 to represent all the values of $t$ that satisfy the inequality.

Answer:

The solution of the inequality is $t>8$. On the number - line, we have an open - circle at 8 and a ray extending to the right.