Set 15: Linear Inequalities (Intermediate)

Choice C is correct. Choice C is the correct answer. Solve the inequality first. 1. Distribute: $6x - 2 \leq 4 x + 10$ 2. Subtract 4 x: $2x - 2 \leq 10$ 3. Add 2: $2x \leq 12$ 4. Divide by 2: $x \leq 6$ 5. Check choices: We need a value that is NOT $\leq 6$. $x=7$ is greater than 6, so it is NOT a solution. Strategic Tip: "Not a solution" means finding the value that makes the inequality FALSE. Choice A is incorrect because $5\leq 6$ is true. Choice B is incorrect because $6\leq 6$ is true. Choice D is incorrect because $0\leq 6$ is true.