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To solve the inequality 1/3n + 4.6 ≤ 39.1, we need to isolate the variable n.
Subtract 4.6 from both sides of the inequality:
1/3n ≤ 39.1 - 4.6
1/3n ≤ 34.5
To get rid of the fraction, multiply both sides of the inequality by 3:
3 * (1/3n) ≤ 3 * 34.5
n ≤ 103.5
Therefore, the solution to the inequality is n ≤ 103.5.