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What is Bounded and Unbounded Sets Explained about?

1) A set S is bounded above if there exists a real number m such that x ≤ m for all x in S. m is called an upper bound of S. 2) A set can be bounded below, bounded above, bounded (both below and above), or unbounded. 3) The supremum (sup) of a non-empty bounded above set S is the least upper bound of S. If it exists, sup is unique. sup may or may not be in S.

Author

Barun Mondal

Language

EN