To solve the inequality \(5x - 3 > -24\), follow these steps:
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Add 3 to both sides: \[ 5x - 3 + 3 > -24 + 3 \] This simplifies to: \[ 5x > -21 \]
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Divide both sides by 5: \[ x > -\frac{21}{5} \] Simplifying \(-\frac{21}{5}\) gives: \[ x > -4.2 \]
So the solution to the inequality is: \[ x > -4.2 \]