Find the least upper bound and the maximum for each Find the

Find the least upper bound and the maximum for each.

Find the least upper bound and the maximum for each. For each set S subset R, give its least upper bound and its maximum, if they exist. a) S={2,4} b) S= [0,3)U{4}

Solution

                                            Least upper bound                 maximum

   a)                                                  <4                                      4

   b)                                                   4                                     4

   c)                                                   very large                        infinity

   d)                                                    very large                       infinity

   e)                                                    2                                     2

   f)                                                     very large                       infinity

   g)                                                    (1,3)                                  (1,3)

   h)         (1,2) (1,2)

   i) rt2    --