1. Solve (x+2)/(2x-6) 0
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the problems:
1. Solve $\frac{x+2}{2x-6} \ge 0$
To solve this inequality, we first find the critical points where the numerator or denominator is zero.
Numerator: $x+2 = 0 \implies x = -2$
Denominator: $2x-6 = 0 \implies 2x = 6 \implies x = 3$
These critical points divide the number line into three intervals: $(-\infty, -2)$, $(-2, 3)$, and $(3, \infty)$. We test a value from each interval:
Interval $(-\infty, -2)$: Let $x = -3$.
$\frac
