Let's denote the unknown number as \( x \). According to the problem, "five more than four times a number is less than 25" can be translated into the following inequality:
\[ 4x + 5 < 25 \]
Now, let's solve the inequality step by step.
- Subtract 5 from both sides:
\[ 4x + 5 - 5 < 25 - 5 \]
This simplifies to:
\[ 4x < 20 \]
- Divide both sides by 4:
\[ \frac{4x}{4} < \frac{20}{4} \]
This simplifies to:
\[ x < 5 \]
Thus, the solution to the inequality means that the possible values for \( x \) (the unknown number) are all numbers less than 5.
In interval notation, we can express the solution as:
\[ (-\infty, 5) \]
Conclusion: The possible values of the number \( x \) are all real numbers less than 5.
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