Prove that if S is a bounded set then S is bounded.
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- Label each of the following statements as either true or false. The least upper bound of a nonempty set S is unique.Label each of the following statements as either true or false. Every upper bound of a nonempty set S must be an element of S.Label each of the following statements as either true or false. Every upper bound of a nonempty set is a least upper bound.
- Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not reflexive.Label each of the following statements as either true or false. If a nonempty set contains an upper bound, then a least upper bound must exist in .Label each of the following statements as either true or false. 2. for all nonempty sets A and B.