9
algebra

Which value is NOT a solution to 2(3x1)4x+102(3x - 1) \leq 4x + 10?

A

x=5x = 5

B

x=6x = 6

C

x=7x = 7

D

x=0x = 0

Correct Answer: C

Choice C is the correct answer. Solve the inequality first.

  1. Distribute: 6x24x+106x - 2 \leq 4x + 10
  2. Subtract 4x: 2x2102x - 2 \leq 10
  3. Add 2: 2x122x \leq 12
  4. Divide by 2: x6x \leq 6
  5. Check choices: We need a value that is NOT 6\leq 6. x=7x=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 because565 \leq 6 is true. Choice B is incorrect because666 \leq 6 is true. Choice D is incorrect because060 \leq 6 is true.