9
algebra

Solve: 4x+3<114x + 3 < 11 or 2x5>72x - 5 > 7

A

x<2x < 2 or x>6x > 6

B

x<2x < 2 or x>1x > 1

C

2<x<62 < x < 6

D

x<3.5x < 3.5 or x>6x > 6

Correct Answer: A

Choice A is the correct answer. Solve independently.

  1. First: 4x<8x<24x < 8 \rightarrow x < 2
  2. Second: 2x>12x>62x > 12 \rightarrow x > 6
  3. Combine: x<2x < 2 or x>6x > 6

?�� Strategic Tip: Always simplify each inequality fully before combining.

Choice B is incorrect because it solves the second inequality incorrectly (x>1x > 1). Choice C is incorrect because it tries to form an "and" interval. Choice D is incorrect because it solves the first inequality incorrectly.