To solve the problem, we first need to translate the given statement into a mathematical inequality.
The statement is: "Five more than four times a number is less than 25."
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Identify the variable: Let's call the unknown number \( x \).
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Translate the statement:
- "Four times a number" can be expressed as \( 4x \).
- "Five more than four times a number" means we need to add 5 to \( 4x \), which is \( 4x + 5 \).
- Finally, the phrase "is less than 25" indicates that we should set up an inequality:
\[ 4x + 5 < 25 \]
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Solve the inequality:
- Start by isolating \( x \):
\[ 4x + 5 < 25 \]
- Subtract 5 from both sides:
\[ 4x < 25 - 5 \]
\[ 4x < 20 \]
- Next, divide both sides by 4:
\[ x < \frac{20}{4} \]
\[ x < 5 \]
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Conclusion: The solution to the inequality \( x < 5 \) means that the possible values for the number \( x \) are any real number that is less than 5.
Final answer: The possible values of the number are \( x < 5 \).
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