Which point would be a solution to the system of linear inequalities shown below? \[ y \geq 2 x+5 \quad y \geq-\frac{2}{5} x+7 \] Answer \( (0,8) \) \( (5,5) \) \( (5,7) \) \( (-10,10) \)
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- For \(y \geq 2x + 5\): \[ 8 \geq 2(0) + 5 \implies 8 \geq 5 \quad \text{(True)} \] - For \(y \geq -\frac{2}{5}x + 7\): \[ 8 \geq -\frac{2}{5}(0) + 7 \implies 8 \geq 7 \quad \text{(True)} \] Since both inequalities are true, \((0, 8)\) is a Show more…
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