Question

solve the inequality and graph the solution.
-13 > 2k + 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: Subtract 3 from both sides

$$-13 - 3>2k+3 - 3$$
$$-16>2k$$

Step2: Divide both sides by 2

$$\frac{-16}{2}>\frac{2k}{2}$$
$$-8 > k$$

Answer:

The solution of the inequality is \(k < - 8\). On the number - line, we plot an open circle at \(-8\) (because the inequality is strict, i.e., \(k
eq - 8\)) and draw a ray to the left of \(-8\).