Set 17: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Solve each inequality separately. 1. First Inequality: $3x - 5 > 7 \rightarrow 3 x > 12 \rightarrow x > 4$ 2. Second Inequality: $2x + 1 < -3 \rightarrow 2 x < -4 \rightarrow x < -2$ 3. Combine: $x > 4$ or $x < -2$ Strategic Tip: Solve them independently. The solution is the union of both sets. Choice B is incorrect because it solves the second inequality incorrectly ($2x < -2 \rightarrow x < -1$). Choice C is incorrect because it tries to write it as a compound "and" inequality, which is impossible (no number is both $>4$ and $<-2$). Choice D is incorrect because it solves the first inequality incorrectly.