Set 3: Linear Inequalities (Advanced)

Explanation

Answer: A

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

$-2 \leq y \leq 3$

✓ Correct

$-2 < y < 3$

$y \leq -2$ or $y \geq 3$

$y \geq -2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Horizontal band between two lines. 1. Lower bound: $y \geq -2$ 2. Upper bound: $y \leq 3$ 3. Inclusive: Use $\leq, \geq$ 4. Combine: $-2 \leq y \leq 3$ 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.

Key Steps:

•

The correct answer is $-2 \leq y \leq 3$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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