Set 16: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Goal-achievement problems model the gap between current state and target. 1. Target: Need at least 10,000 steps total 2. Current: Already have 6,250 steps 3. Set up: $6,250 + s \geq 10,000$ 4. Solve: $s \geq 10,000 - 6,250 = 3,750$ Strategic Tip: "At least" for the total goal translates to $\geq$ for the amount still needed. Choice B is incorrect because $\leq 3,750$ would represent a maximum, not the minimum needed. Choice C is incorrect because it adds 6,250 and 10,000 instead of subtracting. Choice D is incorrect because it uses $\leq$ which represents not exceeding the goal, rather than meeting it.