Set 13: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Distribute both sides, then collect like terms. 1. Distribute left: $8x - 12 \geq 5 x + 5$ 2. Subtract 5 x: $3x - 12 \geq 5$ 3. Add 12: $3x \geq 17$ 4. Divide by 3: $x \geq \frac{17}{3}$ Strategic Tip: When both sides have parentheses, distribute each side completely before combining. Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it uses 7 instead of $\frac{17}{3} \approx 5.67$. Choice D is incorrect because it combines wrong value and wrong direction.