EDB — 0S0

Exercises

1. [0S0] Show that a set \(A⊆ℝ\) is an interval if and only it is convex, if and only if it is connected.

   (A part of the proof is in Theorem 5.11.3 in [ 3 ] ).

   Solution 1

   [0S1]↺↻

   (Note how in this case the exercises [07F]↺↻ and [0JQ]↺↻ coincide).