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To solve the inequality 5x/9 < 8, we can start by multiplying both sides of the inequality by 9 to get rid of the denominator:
9 * (5x/9) < 9 * 8
5x < 72
Next, we divide both sides of the inequality by 5 to isolate x:
(5x)/5 < 72/5
x < 14 2/5
Therefore, the solution to the inequality is x < 14 2/5.