Question

solve the inequality and graph the solution.
8 ≥ \frac{t}{-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.
submit

Explanation:

Step1: Simplify the inequality

Multiply both sides of the inequality \(8\geq\frac{t}{- 1}\) by \(-1\). When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we get \(8\times(-1)\leq t\), which simplifies to \(-8\leq t\) or \(t\geq - 8\).

Step2: Graph the solution

On the number - line, we plot a closed circle at \(-8\) (because the inequality is \(\geq\), so \(-8\) is included in the solution set). Then we draw a ray to the right of \(-8\) to represent all the numbers greater than or equal to \(-8\).

Answer:

The solution of the inequality is \(t\geq - 8\). On the number - line, there is a closed circle at \(-8\) and a ray extending to the right.