Set 7: Linear Inequalities (Advanced)

Choice B is correct. Choice B is the correct answer. Compound inequalities with "and" represent ranges between two values. 1. Lower bound: "At least -10" means $T \geq -10$ 2. Upper bound: "At most 50" means $T \leq 50$ 3. Combine: $-10 \leq T \leq 50$ (both conditions simultaneously) 4. Note: "Inclusive" requires $\leq$ and $\geq$, not strict inequalities Strategic Tip: "Between X and Y, inclusive" always uses $\leq$ on both sides: $X \leq \text{var} \leq Y$. Choice A is incorrect because it uses strict inequalities, excluding the boundary values -10 and 50. Choice C is incorrect because it represents temperatures OUTSIDE the valid range using "or" logic. Choice D is incorrect because $T \geq -10$ and $T \geq 50$ would mean $T \geq 50$ only (impossible to satisfy both with "and" as written).