To complete this problem, we need to evaluate the cube root of 14, $\sqrt[3]{14}$, and determine the closest integers on either side of this value.

1. First, calculate $\sqrt[3]{14}$: $\sqrt[3]{14} \approx 2.41$

2. Identify the integers closest to 2.41:

   • The integer immediately less than 2.41 is 2.
   • The integer immediately greater than 2.41 is 3.

Thus, the completed statement is: $2 < \sqrt[3]{14} < 3$

Would you like a more detailed breakdown or further explanation? Here are some follow-up questions for practice:

1. What is the cube root of 27, and what integers would surround it?
2. How would you solve for the cube root of a non-perfect cube, like 20?
3. How does a cube root differ from a square root in terms of calculation and interpretation?
4. What is the general formula for finding the $n$-th root of a number?
5. Why is $\sqrt[3]{14}$ approximately 2.41, and how can we find a more precise value?

Tip: To approximate cube roots of non-perfect cubes, try estimating between known perfect cubes (like $\sqrt[3]{8} = 2$ and $\sqrt[3]{27} = 3$).