Set 7: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Solve the inequality first. 1. Distribute: $8- 4 x \leq 3 x - 12 + 6$ 2. Simplify: $8- 4 x \leq 3 x - 6$ 3. Add 4 x: $8\leq 7 x - 6$ 4. Add 6: $14\leq 7 x$ 5. Divide by 7: $2\leq x$, or $x \geq 2$ 6. Test Choices: We need a value $\geq 2$. Only $x=2$ works (boundary value). Strategic Tip: $x \geq 2$ means 2 is included. Choice B is incorrect because 1 is not $\geq 2$. Choice C is incorrect because 0 is not $\geq 2$. Choice D is incorrect because -1 is not $\geq 2$.