Question

solve the inequality and graph the solution.
k-1 ≤ 3
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: Solve the inequality

Add \(1\) to both sides of \(k - 1\leq3\).
$$k-1 + 1\leq3 + 1$$
$$k\leq4$$

Step2: Graph the solution

Since \(k\leq4\), we have a closed - circle at \(4\) (because the inequality is \(\leq\), which includes equality) and a ray pointing to the left (towards smaller values of \(k\)).

Answer:

The solution of the inequality \(k - 1\leq3\) is \(k\leq4\). On the number - line, we plot a closed - circle at \(4\) and draw a ray to the left of \(4\).