I don't know which inequality symbol is used in your absolute value equation, so I can't help you out with writing the solution to this specific question in interval notation. However, I can give you some general pointers of interval notation.
Interval notation is used to write a range of values that all are possible solutions to an inequality. Typically, the lowest and highest numbers in your range of solutions are written inside a set of brackets or parenthesis. Square bracket symbols [ or ] are used when the lowest or highest number in your range is actually a solution to the inequality (like a closed circle on a number line). Parenthesis ( or ) are used when the lowest or highest number in your range is NOT a solution to the inequality, but every number up to it is (like an open circle on a number line).
Example: -1 ≤x<3
x = -1, 0, 1, 2 are all possible integer solutions.
Interval notation: [-1, 3)
Check out this website for more information: http://www.coolmath.com/algebra/07-solving-inequalities/03-interval-notation-01.htm