Question

solve the inequality and graph the solution.
-4 + 3t > 8
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: Add 4 to both sides

$-4 + 3t+4>8 + 4$
$3t>12$

Step2: Divide both sides by 3

$\frac{3t}{3}>\frac{12}{3}$
$t > 4$

To graph the solution on the number - line:

1. Mark a point at $t = 4$. Since the inequality is $t>4$ (strict inequality), we use an open - circle at $t = 4$.
2. Draw a ray to the right of $t = 4$ to represent all the values of $t$ that are greater than 4.

Answer:

$t>4$; On the number - line, an open - circle at 4 and a ray extending to the right.