To solve the inequality \( \frac{x}{3} - 3 > -5 \), we can follow these steps:
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Add 3 to both sides to eliminate the -3: \[ \frac{x}{3} > -5 + 3 \] \[ \frac{x}{3} > -2 \]
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Multiply both sides by 3 to isolate \( x \): \[ x > -2 \times 3 \] \[ x > -6 \]
Thus, the solution to the inequality is: \[ x > -6 \]