Question

solve the inequality and graph the solution.
4 ≥ \frac{t}{-1}
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Simplify the inequality

Multiply both sides by -1. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So $4\geq\frac{t}{-1}$ becomes $4\times(- 1)\leq t$, which simplifies to $-4\leq t$ or $t\geq - 4$.

Step2: Graph the solution

The endpoint of the ray is at $t = - 4$. Since the inequality is $t\geq - 4$, the endpoint is a closed - circle (because the value $t=-4$ is included in the solution set). The ray extends to the right on the number line.

Answer:

The solution of the inequality is $t\geq - 4$. On the number - line, plot a closed circle at $-4$ and draw a ray extending to the right.