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To solve the inequality, we need to isolate the variable x on one side of the inequality sign.
Multiply both sides of the inequality by 3/2 to clear the fraction:
(3/2)(2/3x) < (3/2)(5)
Simplifying both sides, we get:
1x < 15/2
The inequality is already in its simplest form. Therefore, the solution is:
x < 15/2