For this exercise, you need to remember the definition of Absolute Value.
The Absolute Value of a number is defined as its distance from zero on the Number Line. By definition, a distance cannot be negative, therefore, the Absolute Value of a number is always a positive.
By definition, the set of Integers contains the positive numbers, the negative numbers are zero,
In this case, you have the following equation:
[tex]|n|=1[/tex]Notice that the Absolute Value of "n" (which is an Integer), is equal to 1.
Then, based on the definitions explained before, you know that:
[tex]\begin{gathered} |1|=1 \\ \\ |-1|=1 \end{gathered}[/tex]Therefore, the answer is:
[tex]\begin{gathered} 1\text{ and }-1 \\ \\ \end{gathered}[/tex]