Set 3: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Isolate $y$ and watch the sign. 1. Subtract 2 x: $-3 y > -2 x + 6$ 2. Divide by -3: $y < \frac{-2}{-3}x + \frac{6}{-3}$ (Reverse sign!) 3. Simplify: $y < \frac{2}{3}x - 2$ Strategic Tip: Dividing by negative coefficient of $y$ flips the inequality. Choice B is incorrect because it fails to reverse the sign. Choice C is incorrect because it has the wrong y-intercept sign. Choice D is incorrect because it fails to reverse sign and has wrong intercept.