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To solve the inequality 5x/9 < 8, we need to isolate x.
First, we can start by multiplying both sides of the inequality by 9 to get rid of the fraction:
(5x/9) * 9 < 8 * 9
This simplifies to:
5x < 72
Next, we divide both sides of the inequality by 5 to isolate x:
(5x)/5 < 72/5
This simplifies to:
x < 14.4
So, the solution to the inequality is x < 14.4.