6
algebra

Solve: 2x+43<2-2 \leq \frac{x + 4}{3} < 2

A

10x<2-10 \leq x < 2

B

10x<6-10 \leq x < 6

C

2x<2-2 \leq x < 2

D

6x<6-6 \leq x < 6

Correct Answer: A

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

  1. Multiply by 3: 6x+4<6-6 \leq x + 4 < 6
  2. Subtract 4: 10x<2-10 \leq x < 2

?�� Strategic Tip: Multiply all three sections by the denominator first.

Choice B is incorrect because it fails to subtract 4 from the right side correctly (64=26-4=2, not 6). Choice C is incorrect because it ignores the multiplication step. Choice D is incorrect because it solves incorrectly.