Question 3 Answer & Explanation - SAT Algebra

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algebra

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

No solution

All real numbers

$2 < x + y < 3$

$y > -x + 3$

Correct Answer: A

Choice A is the correct answer. Analyze the logic.

Condition: The sum $x+y$ must be greater than 3 AND less than 2.
Logic: No number is both $>3$ and $<2$ .
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.

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