How do you graph a fraction in a inequality? example: 1/4 < p

1/4 < p
First, re-arrange the inequality. It will be easier if you keep the variable on the left. Here, after re-arranging, the inequality will look like this:
p > 1/4

The graph is pretty simple. First, you should be able to determine if the line should be dotted or solid. If it has  > or < symbol then it will be a dotted line. If it has ≥ or ≤ symbol, it will have solid line. Here, p > 1/4 will have a dotted line.

Now, graph the function. At this point, you need to disregard the >, <, ≥, or ≤ symbol. Just put = sign and graph it. For example, at this point, p > 1/4 will be seen as p = 1/4. and then graph it.

Now, you need to shade the correct side of the graph. For this step, if you have > or ≥ , then shade the upward section of the graph. If you have < or ≤, then shade the downward section of the graph. And you are done!

I have attached some pictures to help you with this...be sure to check those!