Question

solve the inequality and graph the solution.
-1 < \frac{n}{6}
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: Multiply both sides by 6

Multiply each side of the inequality \(-1<\frac{n}{6}\) by \(6\) to isolate \(n\). Using the property of inequalities \(a < b\Rightarrow c\times a < c\times b\) (when \(c>0\)).
$$-1\times6<\frac{n}{6}\times6$$
$$- 6 < n$$

Answer:

The solution of the inequality is \(n>-6\). On the number - line, we plot an open circle at \(-6\) (because the inequality is strict, i.e., \(n
eq - 6\)) and draw a ray to the right of \(-6\) to represent all real numbers greater than \(-6\).