2
algebra

Solve: 2x+1>52x + 1 > 5 or 2x+1<52x + 1 < -5

A

x>2x > 2 or x<3x < -3

B

x>2x > 2 or x<2x < -2

C

3<x<2-3 < x < 2

D

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

Correct Answer: A

Choice A is the correct answer. Solve each part.

  1. Part 1: 2x>4x>22x > 4 \rightarrow x > 2
  2. Part 2: 2x<6x<32x < -6 \rightarrow x < -3
  3. Combine: x>2x > 2 or x<3x < -3

?�� Strategic Tip: This is equivalent to solving 2x+1>5|2x+1| > 5.

Choice B is incorrect because it solves the second part incorrectly. Choice C is incorrect because it tries to form an "and" interval. Choice D is incorrect because it solves the first part incorrectly.