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question determine the values for which the rational expression is unde…

Question

question

determine the values for which the rational expression is undefined: \frac{8n - 5}{3n + 1}.

provide your answer below:

n =

Explanation:

Response

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<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
\[

$$\begin{aligned} 3n &= -1 \\ n &= -\frac{1}{3} \end{aligned}$$

\]
</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>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
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"Undefined Rational Expressions"
]
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</post_analysis>

Answer:

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]
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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
\[

$$\begin{aligned} 3n &= -1 \\ n &= -\frac{1}{3} \end{aligned}$$

\]
</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>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Undefined Rational Expressions"
]
}
</post_analysis>