To determine which of the given points is a solution to the inequality \( y > 19x - 29 \), we can substitute each point into the inequality and see if it holds true.
Let's evaluate the inequality for each point:
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Point (0, -1/9): \[ y = -\frac{1}{9} \quad \text{and} \quad x = 0 \ -\frac{1}{9} > 19(0) - 29 \ -\frac{1}{9} > -29 \quad \text{(True)} \]
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Point (0, -2/9): \[ y = -\frac{2}{9} \quad \text{and} \quad x = 0 \ -\frac{2}{9} > 19(0) - 29 \ -\frac{2}{9} > -29 \quad \text{(True)} \]
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Point (0, -1/3): \[ y = -\frac{1}{3} \quad \text{and} \quad x = 0 \ -\frac{1}{3} > 19(0) - 29 \ -\frac{1}{3} > -29 \quad \text{(True)} \]
All points satisfy the inequality \( y > 19x - 29 \). Therefore, points (0, -1/9), (0, -2/9), and (0, -1/3) are all solutions to the inequality.