7
algebra

Solve: 5x<25 - x < 2 or 5x>85 - x > 8

A

x>3x > 3 or x<3x < -3

B

x<3x < 3 or x>3x > -3

C

x>3x > 3 or x>3x > -3

D

3<x<3-3 < x < 3

Correct Answer: A

Choice A is the correct answer. Solve each part.

  1. Part 1: x<3x>3-x < -3 \rightarrow x > 3 (Reverse!)
  2. Part 2: x>3x<3-x > 3 \rightarrow x < -3 (Reverse!)
  3. Combine: x>3x > 3 or x<3x < -3

?�� Strategic Tip: Dividing by -1 reverses inequality signs in both cases.

Choice B is incorrect because it fails to reverse signs. Choice C is incorrect because it combines incorrectly. Choice D is incorrect because it tries to form an "and" interval.