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To solve the inequality, we can multiply both sides by 9 to eliminate the fraction:
9 * (5x/9) < 9 * 8
5x < 72
Now, divide both sides by 5 to solve for x:
x < 72/5
We can write 72/5 as a mixed number:
72 รท 5 = 14 with a remainder of 2
So x < 14 + 2/5 is the solution to the inequality.