Question
Solve x1/3<4/5 (fractions)
Answers
GPT-4o mini
To solve the inequality \( x^{1/3} < \frac{4}{5} \), we start by eliminating the cube root by raising both sides of the inequality to the power of 3:
\[
(x^{1/3})^3 < \left(\frac{4}{5}\right)^3
\]
This simplifies to:
\[
x < \frac{64}{125}
\]
So, the solution to the inequality is:
\[
x < \frac{64}{125}
\]
\[
(x^{1/3})^3 < \left(\frac{4}{5}\right)^3
\]
This simplifies to:
\[
x < \frac{64}{125}
\]
So, the solution to the inequality is:
\[
x < \frac{64}{125}
\]