Set 9: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Resource limit problems model remaining capacity after partial use. 1. Total limit: 2000 messages maximum 2. Already used: 1450 messages 3. Remaining: $t + 1450 \leq 2000$ 4. Solve: $t \leq 2000 - 1450 = 550$ Strategic Tip: "Remaining" or "left over" problems subtract what's used from the total limit. Choice B is incorrect because $\geq 550$ would mean sending at least 550 more, which could exceed the 2000 limit. Choice C is incorrect because it adds 1450 and 2000 instead of subtracting. Choice D is incorrect because while the setup is close, using $\geq$ reverses the constraint logic.