Set 14: Linear Inequalities

Choice B is correct. Choice B is the correct answer. Translating "at least" and "no more than" requires proper inequality symbols. 1. Lower bound: "At least $45" means $p \geq 45$ (includes 45) 2. Upper bound: "No more than $120" means $p \leq 120$ (includes 120) 3. Combine: $45\leq p \leq 120$ (both conditions with "and") Strategic Tip: "At least" = $\geq$ (minimum), "at most"/"no more than" = $\leq$ (maximum). Choice A is incorrect because it uses strict inequalities, excluding the boundary prices $45 and $120. Choice C is incorrect because it represents prices OUTSIDE the range using "or" logic, the opposite of what we want. Choice D is incorrect because it combines strict inequalities with "or", representing all prices except the range 45-120.