Set 9: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Sign analysis. 1. Critical Points: Numerator 0 at $x=-1$, Denominator 0 at $x=2$. 2. Test Intervals: - $x < -1$ (e.g., -2): Neg/Neg = Pos ($>0$) - $-1 < x < 2$ (e.g., 0): Pos/Neg = Neg ($<0$) - $x > 2$ (e.g., 3): Pos/Pos = Pos ($>0$) 3. Result: $x < -1$ or $x > 2$ Strategic Tip: A quotient is positive if both parts have the SAME sign. Choice B is incorrect because it represents the negative region. Choice C is incorrect because it misses the negative x solution. Choice D is incorrect because it misses the positive x solution.