Question

solve the inequality and graph the solution.
-14 ≥ k - 20
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: Add 20 to both sides

$$\begin{align*} -14+20&\geq k - 20+20\\ 6&\geq k \end{align*}$$

Step2: Rewrite the inequality

$k\leq6$

To graph, place a closed circle at $6$ (since the inequality is $\leq$) and shade to the left.

Answer:

The solution of the inequality is $k\leq6$. On the number - line, there is a closed circle at $6$ and the line is shaded to the left of $6$.