Find the critical points by setting the numerator and denominator to zero.
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ScanSolve AI Answer
Here are the solutions to the problems:
1. Solve $\frac{x+2}{2x-6} \ge 0$
Step 1: 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 $x=3$.
Step 2: Test intervals defined by the critical points: $(-\infty, -2)$, $(-2, 3)$, and $(3, \infty)$.
For $x < -2$ (e.g., $x=-
