Question

solve the inequality and graph the solution.
-6 ≥ 3t
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: Divide both sides by 3

$$\frac{-6}{3}\geq\frac{3t}{3}$$

Step2: Simplify

$$- 2\geq t$$
which can be written as \(t\leq - 2\)

Answer:

The solution of the inequality is \(t\leq - 2\). On the number - line, we place a closed circle at \(-2\) (because the inequality is \(\leq\), so \(-2\) is included in the solution set) and draw a ray to the left of \(-2\) towards negative infinity.