Set 8: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Clear fractions with LCD = 12. 1. Multiply by 12: $3(2 x - 3) - 4(x + 1) \geq 12(1)$ 2. Distribute: $6x - 9 - 4 x - 4 \geq 12$ 3. Combine: $2x - 13 \geq 12$ 4. Add 13: $2x \geq 25$ 5. Divide by 2: $x \geq 12.5$ Strategic Tip: Don't forget to distribute the negative sign to the second term: $-4(1) = -4$. Choice B is incorrect because it reverses the inequality. Choice C is incorrect because it solves incorrectly. Choice D is incorrect because it solves incorrectly.