1
algebra

Solve: 2(3x1)4x102(3x - 1) - 4x \leq 10

A

x6x \leq 6

B

x6x \geq 6

C

x4x \leq 4

D

x4x \geq 4

Correct Answer: A

Choice A is the correct answer. Simplify the expression on the left side first.

  1. Distribute: 6x24x106x - 2 - 4x \leq 10
  2. Combine like terms: 2x2102x - 2 \leq 10
  3. Add 2: 2x122x \leq 12
  4. Divide by 2: x6x \leq 6

?�� Strategic Tip: Combine 6x6x and 4x-4x carefully to get 2x2x.

Choice B is incorrect because it reverses the inequality direction without justification. Choice C is incorrect because it might result from adding 2 to 10 incorrectly (getting 8) or dividing wrong. Choice D is incorrect because it combines wrong value and wrong direction.