Set 12: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Distribute the negative sign carefully. 1. Distribute negative: $5x - x - 2 \geq 3 x + 5$ 2. Combine terms: $4x - 2 \geq 3 x + 5$ 3. Subtract 3 x: $x - 2 \geq 5$ 4. Add 2: $x \geq 7$ Strategic Tip: $-(x + 2)$ becomes $-x - 2$. Forgetting to distribute the negative to the constant is a common error. Choice B is incorrect because it might come from adding 2 to 5 incorrectly or failing to distribute the negative. Choice C is incorrect because it reverses the inequality direction. Choice D is incorrect because it combines wrong value and wrong direction.