Set 12: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Distribute and collect terms. 1. Distribute: $-4 x - 8 > 2 x - 16$ 2. Add 4 x: $-8 > 6 x - 16$ 3. Add 16: $8> 6 x$ 4. Divide by 6: $\frac{8}{6} > x$, which simplifies to $\frac{4}{3} > x$ or $x < \frac{4}{3}$ Strategic Tip: Be careful with signs when distributing negatives. $-4(2) = -8$. Choice B is incorrect because it reverses the inequality direction (should be $x <$). Choice C is incorrect because it might result from arithmetic errors like $6x < 24$. Choice D is incorrect because it combines wrong value and wrong direction.