9
algebra

Solve: 3(x+1)93(x + 1) \leq 9 and 2x>42x > -4

A

2<x2-2 < x \leq 2

B

2x2-2 \leq x \leq 2

C

x2x \leq 2

D

x>2x > -2

Correct Answer: A

Choice A is the correct answer. Solve independently.

  1. First: 3x+393x6x23x + 3 \leq 9 \rightarrow 3x \leq 6 \rightarrow x \leq 2
  2. Second: x>2x > -2
  3. Combine: x>2x > -2 AND x22<x2x \leq 2 \rightarrow -2 < x \leq 2

?�� Strategic Tip: Pay attention to strict (>>) vs inclusive (\leq) endpoints.

Choice B is incorrect because it makes -2 inclusive. Choice C is incorrect because it misses the lower bound. Choice D is incorrect because it misses the upper bound.