Set 13: Linear Inequalities (Advanced)

Explanation

Answer: A

Which system has solutions in Quadrant II only?

$x < 0, y > 0, y < x + 10$

✓ Correct

$x > 0, y > 0$

$x < 0, y < 0$

$x > 0, y < 0$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Analyze constraints. 1. $x < 0, y > 0$ : This defines Quadrant II. 2. $y < x + 10$ : This cuts off a portion, but the solution remains strictly within QII because of the first two constraints. Strategic Tip: Quadrant II is Top-Left ( $x$ neg, $y$ pos). Choice B is incorrect because it is Q 1. Choice C is incorrect because it is Q 3. Choice D is incorrect because it is Q 4.

Key Steps:

•

The correct answer is $x < 0, y > 0, y < x + 10$

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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