To solve the inequality \(-5h - 7 < 3\), follow these steps:
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Add 7 to both sides of the inequality: \[ -5h - 7 + 7 < 3 + 7 \] Simplifying this gives: \[ -5h < 10 \]
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Divide both sides by -5. Remember that dividing by a negative number reverses the inequality sign: \[ h > \frac{10}{-5} \] Simplifying this gives: \[ h > -2 \]
Thus, the solution is: \[ h > -2 \]