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What values of $x$ make the inequality $\frac{x}{x^2-1} < 0$ true?
What values of $x$ make the inequality $\frac{x}{x^2-1} < 0$ true?
$x < -1$ or $-1 < x < 1$ or $x > 1$
Identify the intervals for which the inequality $\frac{x^2-5x+6}{x^2-5x-6} > 0$ holds true.
Identify the intervals for which the inequality $\frac{x^2-5x+6}{x^2-5x-6} > 0$ holds true.
$(-\infty, 2) \cup (3, 4) \cup (5, \infty)$
For the inequality $\frac{6x^2+x-1}{20x^2-x-1} \le 0$, what critical points must be considered?
For the inequality $\frac{6x^2+x-1}{20x^2-x-1} \le 0$, what critical points must be considered?
$x = -\frac{1}{3}, \frac{1}{2}, \frac{6}{5}$
What is the significance of determining inequalities like $\frac{x^2-5x+6}{x^2-5x-6} > 0$ in practical applications?
What is the significance of determining inequalities like $\frac{x^2-5x+6}{x^2-5x-6} > 0$ in practical applications?
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Describe how to find the solution set for $\frac{6x^2+x-1}{20x^2-x-1} \le 0$.
Describe how to find the solution set for $\frac{6x^2+x-1}{20x^2-x-1} \le 0$.
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