Question 4 Answer & Explanation - SAT Algebra

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algebra

Solve: $3x + 4y > 12$ for $y$ .

$y > -\frac{3}{4}x + 3$

$y < -\frac{3}{4}x + 3$

$y > -\frac{3}{4}x - 3$

$y > \frac{3}{4}x + 3$

Correct Answer: A

Choice A is the correct answer. Isolate $y$ .

Subtract 3x: $4y > -3x + 12$
Divide by 4: $y > -\frac{3}{4}x + 3$

?�� Strategic Tip: Dividing by positive 4 keeps the sign direction.

Choice B is incorrect because it reverses the sign. Choice C is incorrect because it has wrong intercept sign. Choice D is incorrect because it has wrong slope sign.

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