Set 7: Linear Inequalities (Intermediate)

Explanation

Answer: A

Solve the system: $x + y > 3$ and $x + y < 2$

No solution

✓ Correct

All real numbers

$2 < x + y < 3$

$y > -x + 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Analyze the logic. 1. Condition: The sum $x+y$ must be greater than 3 AND less than 2. 2. Logic: No number is both $>3$ and $<2$ . 3. Result: Empty set. Strategic Tip: These represent parallel half-planes facing away from each other. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is No solution

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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