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Find the critical points by setting the numerator and denominator to zero.

April 4, 2026English

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Here are the solutions to the problems:

1. Solve $\frac{x+2}{2x-6} \ge 0$

Find the critical points by setting the numerator and denominator to zero.
For the numerator: $x+2 = 0 \implies x = -2$
For the denominator: $2x-6 = 0 \implies 2x = 6 \implies x = 3$
The critical points are $x=-2$ and $x=3$ .
Test intervals defined by the critical points
$(-\infty, -2)$ , $(-2, 3)$ , and $(3, \infty)$ .
- For $x < -2$ (e.g., $x=-

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