8
algebra

Solve: 5<2x+1115 < 2x + 1 \leq 11

A

2<x52 < x \leq 5

B

2x<52 \leq x < 5

C

3<x63 < x \leq 6

D

x5x \leq 5

Correct Answer: A

Choice A is the correct answer. Isolate xx.

  1. Subtract 1: 4<2x104 < 2x \leq 10
  2. Divide by 2: 2<x52 < x \leq 5

?�� Strategic Tip: Maintain the strict (<<) and inclusive (\leq) signs exactly as they are.

Choice B is incorrect because it swaps the signs. Choice C is incorrect because it solves incorrectly. Choice D is incorrect because it misses the lower bound.