Question

solve the inequality and graph
1 + 5k > -9
plot the endpoints. select an end
middle of the segment, ray, or line to

Explanation:

Step1: Subtract 1 from both sides

$$1 + 5k-1>-9 - 1$$
$$5k>-10$$

Step2: Divide both sides by 5

$$\frac{5k}{5}>\frac{-10}{5}$$
$$k > - 2$$

To graph \(k>-2\), we first plot an open circle at \(k = - 2\) (because the inequality is strict, \(k
eq-2\)). Then we draw a ray to the right of \(k=-2\) since \(k\) is greater than \(-2\).

Answer:

The solution of the inequality \(1 + 5k>-9\) is \(k > - 2\). The graph has an open circle at \(-2\) and a ray extending to the right.