Question

graph the inequality. a number k is no more than -\frac{1}{2} or at least 2\frac{1}{2}.

Explanation:

Step1: Translate to inequalities

"$k$ is no more than $-\frac{1}{2}$" means $k\leq-\frac{1}{2}$, and "$k$ is at least $2\frac{1}{2}=\frac{5}{2}$" means $k\geq\frac{5}{2}$.

Step2: Graph on number - line

For $k\leq-\frac{1}{2}$, we draw a closed - circle at $-\frac{1}{2}$ and shade to the left. For $k\geq\frac{5}{2}$, we draw a closed - circle at $\frac{5}{2}$ and shade to the right.

Answer:

Graph a closed - circle at $-\frac{1}{2}$ and shade to the left, and graph a closed - circle at $\frac{5}{2}$ and shade to the right on the number line.