From the inequlity 1/3 is less than or equals to x or x is less than or equals to 3/7. This means x range from 1/3 to 3/7 . This means x can be 1/3 or 3/7. Therefore, the inequality comparing two of the expression is false when
[tex]\begin{gathered} \sqrt[]{2x}<5x^3 \\ \sqrt[]{2\times\frac{1}{3}}<5(\frac{1}{3})^3 \\ \sqrt[]{\frac{2}{3}}<5\times\frac{1}{27} \\ \sqrt[]{\frac{2}{3}}<\frac{5}{27} \\ \text{From the last inequality you can notice that }\sqrt[]{\frac{2}{3}}<\frac{5}{27}\text{ is false} \end{gathered}[/tex]
