Question

solve the inequality and graph the solution.
6t - 10 ≥ 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.
submit

Explanation:

Step1: Add 10 to both sides

$$6t-10 + 10\geq8 + 10$$
$$6t\geq18$$

Step2: Divide both sides by 6

$$\frac{6t}{6}\geq\frac{18}{6}$$
$$t\geq3$$

Answer:

The solution of the inequality \(6t - 10\geq8\) is \(t\geq3\). On the number - line, we plot a closed circle at \(t = 3\) (because the inequality is \(\geq\), so 3 is included in the solution set) and draw a ray to the right of 3.