Question

Which inequality comparing two of the expressions is false when

Answer 1

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

`\begin{gathered} \sqrt[]{2x}<5x^3 \\ \sqrt[]{2*(1)/(3)}<5((1)/(3))^3 \\ \sqrt[]{(2)/(3)}<5*(1)/(27) \\ \sqrt[]{(2)/(3)}<(5)/(27) \\ \text{From the last inequality you can notice that }\sqrt[]{(2)/(3)}<(5)/(27)\text{ is false} \end{gathered}`