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The correct inequality is 4/5n - 12 > 24. To solve this inequality, we need to isolate the variable n.
Adding 12 to both sides of the inequality, we get:
4/5n > 36
Next, we need to get rid of the fraction 4/5. We can do this by multiplying both sides of the inequality by 5/4 (the reciprocal of 4/5).
(5/4)(4/5)n > (5/4)(36)
n > 45
Therefore, the correct solution is n > 45.