Set 10: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Solve independently and find the intersection. 1. First: $2x \geq -4 \rightarrow x \geq -2$ 2. Second: $-3 x > -12 \rightarrow x < 4$ (Reverse sign!) 3. Combine: $x \geq -2$ AND $x < 4 \rightarrow -2 \leq x < 4$ Strategic Tip: Don't forget to reverse the sign when dividing by -3. Choice B is incorrect because it might result from dividing 12 by 2 instead of 3. Choice C is incorrect because it ignores the second constraint. Choice D is incorrect because it ignores the first constraint.