To solve the inequality \( \frac{r}{3} + 2 \geq 3 \), follow these steps:
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Subtract 2 from both sides: \[ \frac{r}{3} \geq 3 - 2 \] \[ \frac{r}{3} \geq 1 \]
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Multiply both sides by 3 to eliminate the fraction: \[ r \geq 3 \cdot 1 \] \[ r \geq 3 \]
Thus, the solution is: \[ \boxed{r \geq 3} \]