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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.

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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!

What are the integer solutions of the inequality |X| < 3?

Learn how to find the integer solutions to the inequality |X| < 3. This problem involves absolute value inequalities and finding integer values that satisfy the given condition. Suitable for students in Grades 7-9.

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