10
algebra

Solve: 5<3x+2<115 < 3x + 2 < 11

A

1<x<31 < x < 3

B

1<x<91 < x < 9

C

3<x<93 < x < 9

D

x<1x < 1 or x>3x > 3

Correct Answer: A

Choice A is the correct answer. Solve the compound inequality.

  1. Subtract 2: 3<3x<93 < 3x < 9
  2. Divide by 3: 1<x<31 < x < 3

?�� Strategic Tip: Perform the inverse operations on all three parts.

Choice B is incorrect because it fails to divide the right side by 3. Choice C is incorrect because it fails to divide by 3 at all. Choice D is incorrect because it uses "or" logic for an "and" inequality.