Set 8: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Distributing a negative coefficient creates a negative variable term. 1. Distribute: $-3(x) + (-3)(2) \geq 12$, giving $-3 x - 6 \geq 12$ 2. Add 6: $-3 x \geq 18$ 3. Divide by -3: $x \leq -6$ (REVERSE the sign!) Strategic Tip: When dividing by a negative number, always flip the inequality direction. Choice B is incorrect because it fails to reverse the inequality when dividing by -3. Choice C is incorrect because it uses -2 instead of -6, possibly from incorrect arithmetic. Choice D is incorrect because it combines the wrong value with failure to reverse the sign.