Set 12: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. "GreatOR" splits into two outward cases. 1. Case 1: $x + 2 > 4 \rightarrow x > 2$ 2. Case 2: $x + 2 < -4 \rightarrow x < -6$ 3. Combine: $x > 2$ or $x < -6$ Strategic Tip: Absolute value represents distance. Distance $> 4$ means further away than 4 units in either direction. Choice B is incorrect because it represents $|x+2| < 4$ (distance less than 4). Choice C is incorrect because it misses the negative case. Choice D is incorrect because it misses the positive case.