The question asks for the integer solutions to the inequality $|X| < 3$.

The inequality $|X| < 3$ means that the absolute value of $X$ must be less than 3. In other words, $X$ must lie between -3 and 3, but not including -3 and 3 themselves.

This can be written as:

$-3 < X < 3$

The integer values that satisfy this inequality are:

$X = -2, -1, 0, 1, 2$

Therefore, the correct answer is:

$\textbf{2, 1, 0, -1, and -2}$

This corresponds to the second option in the multiple-choice answers.

Would you like further details on how absolute value inequalities work?

Here are 5 related questions you might find helpful:

1. How would the solution change if the inequality were $|X| \leq 3$?
2. What is the general process for solving absolute value inequalities?
3. How do absolute value inequalities differ from regular inequalities?
4. What are some real-life applications of absolute value inequalities?
5. How do you graph solutions to absolute value inequalities on a number line?

Tip: Always remember that solving an inequality involving absolute values requires you to consider both the positive and negative cases!