Set 13: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Distribute and isolate the variable. 1. Distribute: $8- 2 x > 3 x + 18$ 2. Add 2 x: $8> 5 x + 18$ 3. Subtract 18: $-10 > 5 x$ 4. Divide by 5: $-2 > x$, which is equivalent to $x < -2$ Strategic Tip: Keeping the variable positive (by adding $2x$) avoids dividing by a negative, but you must read the inequality correctly from the variable's perspective ($-2 > x$ means $x$ is less than $-2$). Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it uses positive 2 instead of negative 2. Choice D is incorrect because it combines wrong value and wrong direction.