To simplify interval notation, you combine overlapping or contiguous intervals into a single interval if possible. For example, if you have the intervals [2, 5] and [4, 7], you can simplify them to [2, 7]. Additionally, remove any redundant elements, such as expressing (3, 5) ∪ (5, 7) simply as (3, 7) since the endpoints do not overlap. Always ensure that the final interval is expressed in the correct format, using parentheses for open intervals and brackets for closed intervals.
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