Set 5: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Factor and test intervals. 1. Factor: $(x - 5)(x + 1) < 0$ 2. Roots: $x = 5, x = -1$ 3. Test Intervals: - $x < -1$: Neg $\times$ Neg = Pos ($>0$) - $-1 < x < 5$ (e.g., 0): Neg $\times$ Pos = Neg ($<0$) - $x > 5$: Pos $\times$ Pos = Pos ($>0$) 4. Result: $-1 < x < 5$ Strategic Tip: "Less than" for a parabola opening up is the region "between" the roots. Choice B is incorrect because it describes the outside region ($>0$). Choice C is incorrect because it has wrong roots. Choice D is incorrect because it has wrong roots.