Question

Please solve this problem by writing 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

Answer 1

Let the unknown number be represented by \( x \).

The problem states that "five more than four times a number is less than 25". We can translate this statement into a mathematical inequality as follows:

\[
4x + 5 < 25
\]

Next, we will solve this inequality step by step.

1. **Subtract 5 from both sides:**

\[
4x + 5 - 5 < 25 - 5
\]
\[
4x < 20
\]

2. **Divide both sides by 4:**

\[
\frac{4x}{4} < \frac{20}{4}
\]
\[
x < 5
\]

Thus, the solution to the inequality is:

\[
x < 5
\]

### Conclusion

The possible values of the number \( x \) are all real numbers less than 5. This can be expressed as:

\[
(-\infty, 5)
\]

So, the solution set consists of all numbers less than 5.