Question

solve the inequality and graph the solution. 4(k - 1) ≤ 8 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: Divide both sides by 4

$$\frac{4(k - 1)}{4}\leq\frac{8}{4}$$
$$k - 1\leq2$$

Step2: Add 1 to both sides

$$k-1 + 1\leq2 + 1$$
$$k\leq3$$

Answer:

The solution of the inequality \(4(k - 1)\leq8\) is \(k\leq3\). On the number - line, we plot a closed circle at \(k = 3\) (because the inequality is \(\leq\)) and draw a ray to the left (since \(k\) is less than or equal to \(3\)).