Question

solve the inequality and graph the solution.
6j > 18
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

Divide both sides of the inequality \(6j>18\) by \(6\).
$$\frac{6j}{6}>\frac{18}{6}$$

Step2: Simplify

Simplify the left - hand side \(\frac{6j}{6}=j\) and the right - hand side \(\frac{18}{6} = 3\). So \(j>3\).

Answer:

The solution of the inequality \(6j>18\) is \(j > 3\). On the number line, we plot an open circle at \(j = 3\) (because \(3\) is not included in the solution set) and draw a ray to the right of \(3\) to represent all values of \(j\) greater than \(3\).