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Which bracket is used for closed intervals?

Published in Interval Notation 1 min read

Square brackets, specifically [ and ], are used for closed intervals.

According to the reference, interval notation uses open brackets () for < or > and closed brackets [] for and . This means that a closed interval includes the endpoint, while an open interval does not.

For example:

  • The interval [4, 6] represents all numbers between 4 and 6, including 4 and 6. This is a closed interval.
  • The interval (0, 2) represents all numbers between 0 and 2, excluding 0 and 2. This is an open interval.
  • The interval [4, 6] U (0, 2) combines a closed and an open interval, representing all numbers between 4 and 6 (inclusive) and all numbers between 0 and 2 (exclusive).

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