(See attached file for full problem description)
1. In the metric space show that:
a. Any open interval of the form (a,b), (a, ), or (- ,b) is an open set.
b. A close interval [a,b] is a closed set.
c. Any interval of the form [a, ) is a closed set.
Please see the attachment.
(a) For any , we select , then . This implies that is an open set. For any , we ...
This solution is comprised of a detailed explanation to answer in the metric space show that: