10
algebra

Solve: 3x+1>103x + 1 > 10 and x+2<4x + 2 < 4

A

No solution

B

2<x<32 < x < 3

C

x>3x > 3

D

x<2x < 2

Correct Answer: A

Choice A is the correct answer. Solve independently.

  1. First: 3x>9x>33x > 9 \rightarrow x > 3
  2. Second: x<2x < 2
  3. Combine: x>3x > 3 AND x<2x < 2
  4. Logic: No number is both greater than 3 and less than 2.

?�� Strategic Tip: If the intervals don't overlap, the answer to an "AND" problem is No Solution.

Choice B is incorrect because it assumes overlap. Choice C is incorrect because it ignores the second constraint. Choice D is incorrect because it ignores the first constraint.