Characterization Theorem

Here we discussed 4 cases 1. S is bounded, 2. S is bounded above but not below, 3. S is bounded below but not bounded above, 4. S is neither bounded above nor below. In case of bounded, we discussed Closed intervals, Open intervals, Half open intervals. Important Links 1. Intervals :-    • Intervals   2. Upper bound and Lower bound :-    • Upper bound & Lower bound   3. Supremum and Infimum :-    • Supremum & Infimum   4. Completeness property :-    • The Completeness  property of R