Asked by 🧋🧋life
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!
Use more formal language and grammer
Use more formal language and grammer
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
\[
4x + 5 < 25
\]
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.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.