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QUESTION IMAGE

solve the inequality and graph the solution. 8 - 3t < 2 plot the endpoi…

Question

solve the inequality and graph the solution. 8 - 3t < 2 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: Subtract 8 from both sides

$8 - 3t - 8 < 2 - 8$
$-3t < -6$

Step2: Divide by -3, flip inequality

$\frac{-3t}{-3} > \frac{-6}{-3}$
$t > 2$

Step3: Graph the solution

Open circle at $t=2$ (since inequality is strict, no equality), draw a ray pointing right to represent all values greater than 2.

Answer:

$t > 2$
(Graph: Open circle at 2, arrow pointing right)