To solve the inequality x^(1/3) < 4/5, we need to isolate x on one side of the inequality.
First, we will cube both sides of the inequality to eliminate the cube root:
(x^(1/3))^3 < (4/5)^3
x < (64/125)
Therefore, the solution to the inequality is x < 64/125.
Solve x1/3 < 4/5
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