To solve the problem, we first need to represent the unknown number with a variable. Let's call the number "x." The expression "five more than four times a number" can be written as 4x + 5. Now, we know that this expression is less than 25, so we can set up the inequality: 4x + 5 < 25. Next, we subtract 5 from both sides to isolate the term with x, which gives us 4x < 20. Then, we divide both sides by 4, which simplifies to x < 5. Therefore, the possible values of the number x are all the numbers that are less than 5. This means that x can be 4, 3, 2, 1, or any negative number; really, it can be anything below 5!

Question

Use more formal language and grammer

Answer 1

To solve the problem, we begin by representing the unknown number with a variable, denoting it as \( x \). The phrase "five more than four times a number" can be mathematically expressed as \( 4x + 5 \). Given that this expression is less than 25, we can formulate the inequality:

\[ 4x + 5 < 25 \]

To isolate the term containing \( x \), we will subtract 5 from both sides of the inequality:

\[ 4x < 20 \]

Next, we divide both sides by 4 in order to solve for \( x \):

\[ x < 5 \]

Thus, the solution indicates that the possible values of \( x \) encompass all numbers that are less than 5. Consequently, \( x \) can take on values such as 4, 3, 2, 1, or any negative number; indeed, it can assume any value that is less than 5.