QUESTION IMAGE
Question
question
determine the values for which the rational expression is undefined: \frac{8n - 5}{3n + 1}.
provide your answer below:
n =
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</pre_analysis>
<reasoning>
Set the denominator to zero
A rational expression is undefined when its denominator is equal to zero.
\[
3n + 1 = 0
\]
Solve for n
Using the Solving Linear Equations knowledge point
\[
\]
</reasoning>
<answer>
Determine the values for which the rational expression is undefined: \(\frac{8n - 5}{3n + 1}\).
Provide your answer below:
\(n =\) <blank>\(-\frac{1}{3}\)</blank>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Undefined Rational Expressions"
]
}
</post_analysis>
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<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Solving Linear Equations"
],
"new_concepts": [
"Undefined Rational Expressions",
"Domain of Rational Functions"
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"Solving Linear Equations",
"Undefined Rational Expressions"
]
}
</pre_analysis>
<reasoning>
Set the denominator to zero
A rational expression is undefined when its denominator is equal to zero.
\[
3n + 1 = 0
\]
Solve for n
Using the Solving Linear Equations knowledge point
\[
\]
</reasoning>
<answer>
Determine the values for which the rational expression is undefined: \(\frac{8n - 5}{3n + 1}\).
Provide your answer below:
\(n =\) <blank>\(-\frac{1}{3}\)</blank>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Undefined Rational Expressions"
]
}
</post_analysis>