To determine which of the points \((2,3)\), \((4,5)\), \((-2,-5)\), and \((0,2)\) satisfies the inequality \(y < 3x - 5\), we need to plug in the \(x\) and \(y\) values of each point into the inequality and see if it holds true.
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For \((2, 3)\): \[ y < 3x - 5 \implies 3 < 3(2) - 5 \implies 3 < 6 - 5 \implies 3 < 1 \quad \text{(False)} \]
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For \((4, 5)\): \[ y < 3x - 5 \implies 5 < 3(4) - 5 \implies 5 < 12 - 5 \implies 5 < 7 \quad \text{(True)} \]
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For \((-2, -5)\): \[ y < 3x - 5 \implies -5 < 3(-2) - 5 \implies -5 < -6 - 5 \implies -5 < -11 \quad \text{(False)} \]
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For \((0, 2)\): \[ y < 3x - 5 \implies 2 < 3(0) - 5 \implies 2 < 0 - 5 \implies 2 < -5 \quad \text{(False)} \]
The only point that satisfies \(y < 3x - 5\) is \((4, 5)\).