6
algebra

Solve: 102x46-10 \leq 2x - 4 \leq 6

A

3x5-3 \leq x \leq 5

B

3x1-3 \leq x \leq 1

C

7x5-7 \leq x \leq 5

D

7x1-7 \leq x \leq 1

Correct Answer: A

Choice A is the correct answer. Isolate xx in the middle.

  1. Add 4: 10+42x6+4-10 + 4 \leq 2x \leq 6 + 4, giving 62x10-6 \leq 2x \leq 10
  2. Divide by 2: 3x5-3 \leq x \leq 5

?�� Strategic Tip: Check both endpoints: 6/2=3-6/2 = -3 and 10/2=510/2 = 5.

Choice B is incorrect because it divides 6 by 2 incorrectly or forgets to add 4 to the right side. Choice C is incorrect because it subtracts 4 instead of adding. Choice D is incorrect because it combines multiple errors.