Set 5: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Absolute value $\geq$ splits into two "or" inequalities. 1. Case 1: $2x + 1 \geq 9 \rightarrow 2 x \geq 8 \rightarrow x \geq 4$ 2. Case 2: $2x + 1 \leq -9 \rightarrow 2 x \leq -10 \rightarrow x \leq -5$ 3. Combine: $x \geq 4$ or $x \leq -5$ Strategic Tip: "GreatOR" = Or. Split into positive and negative cases, flipping the sign for the negative case. Choice B is incorrect because it models $|2 x+1| \leq 9$ ("Less thAND"). Choice C is incorrect because it misses the negative case. Choice D is incorrect because it misses the positive case.