To determine if the point (0, -3) is a solution to the inequality \( y > \frac{4}{5}x - 3 \), we need to substitute \( x = 0 \) and \( y = -3 \) into the inequality and see if it holds true.
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Substitute \( x = 0 \) into the inequality: \[ y > \frac{4}{5}(0) - 3 \] Simplifying this gives: \[ y > 0 - 3 \] \[ y > -3 \]
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Now substitute \( y = -3 \): \[ -3 > -3 \]
This is not true because \(-3\) is not greater than \(-3\). It's actually equal to \(-3\).
Therefore, the point (0, -3) is not a solution to the inequality \( y > \frac{4}{5}x - 3 \) because it does not satisfy the condition that \( y \) must be greater than \(-3\).