Question

solve the inequality and graph the solution. 5 - k ≤ 1 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: Subtract 5 from both sides

$$5 - k-5\leq1 - 5$$
$$-k\leq - 4$$

Step2: Multiply both sides by - 1 and reverse the inequality sign

When we multiply or divide an inequality by a negative number, the inequality sign flips. So, multiplying $-k\leq - 4$ by $-1$ gives:
$$k\geq4$$

Answer:

The solution of the inequality \(5 - k\leq1\) is \(k\geq4\). On the number - line, we plot a closed circle at \(k = 4\) (because the inequality is \(\geq\), so 4 is included in the solution set) and draw a ray to the right of 4.