Solve this problem by writing an inequality and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work.

Let's say the number is "n". We need to find the inequality to represent the statement "Five more than four times a number is less than 25".

Four times a number is 4n.

Five more than four times a number is 4n + 5.

So, the inequality is: 4n + 5 < 25.

Now, let's solve the inequality:

4n + 5 < 25

Subtract 5 from both sides:

4n < 20

Divide both sides by 4:

n < 5

Therefore, the possible values of the number are all numbers less than 5.