9
algebra

Which inequality describes the region between y=3y = 3 and y=2y = -2, inclusive?

A

2y3-2 \leq y \leq 3

B

2<y<3-2 < y < 3

C

y2y \leq -2 or y3y \geq 3

D

y2y \geq -2

Correct Answer: A

Choice A is the correct answer. Horizontal band between two lines.

  1. Lower bound: y2y \geq -2
  2. Upper bound: y3y \leq 3
  3. Inclusive: Use ,\leq, \geq
  4. Combine: 2y3-2 \leq y \leq 3

?�� Strategic Tip: "Between" implies an "and" compound inequality.

Choice B is incorrect because it excludes the lines (strict). Choice C is incorrect because it describes the region OUTSIDE the band. Choice D is incorrect because it has no upper limit.