Solve for æ: 3x + 8 < 0 6 – 5x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Solve for \( x \):**

\[
\frac{3x + 8}{6 - 5x} < 0
\]

### Identify roots and asymptotes

\[
\frac{3x + 8}{6 - 5x}
\]

- has a root at \( x = \) [____]

- has a vertical asymptote at \( x = \) [____]

Use interval notation to represent the three separate intervals where \(\frac{3x + 8}{6 - 5x}\) will be non-zero: [_________]

- Type "inf" and "-inf" for \(\infty\) and \(-\infty\), respectively.

- Type the capital letter "U" to represent the union symbol \(\cup\).

### Test each interval

### Solve inequalities by interpreting your results

You may receive full credit for this problem by giving the correct answer here.  
(The steps above are provided to assist you with the process of finding the correct final answer.)

\[
\frac{3x + 8}{6 - 5x} < 0 \text{ on the interval(s): } [_________]
\]

- Type "inf" and "-inf" for \(\infty\) and \(-\infty\), respectively.

- Type the capital letter "U" to represent the union symbol \(\cup\).
Transcribed Image Text:**Solve for \( x \):** \[ \frac{3x + 8}{6 - 5x} < 0 \] ### Identify roots and asymptotes \[ \frac{3x + 8}{6 - 5x} \] - has a root at \( x = \) [____] - has a vertical asymptote at \( x = \) [____] Use interval notation to represent the three separate intervals where \(\frac{3x + 8}{6 - 5x}\) will be non-zero: [_________] - Type "inf" and "-inf" for \(\infty\) and \(-\infty\), respectively. - Type the capital letter "U" to represent the union symbol \(\cup\). ### Test each interval ### Solve inequalities by interpreting your results You may receive full credit for this problem by giving the correct answer here. (The steps above are provided to assist you with the process of finding the correct final answer.) \[ \frac{3x + 8}{6 - 5x} < 0 \text{ on the interval(s): } [_________] \] - Type "inf" and "-inf" for \(\infty\) and \(-\infty\), respectively. - Type the capital letter "U" to represent the union symbol \(\cup\).
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