i am having trouble with this this. i need to simplify this statement and find, if any, the minimum, maximum, infimum, and supremum of it.
the statement is this:
$A:= (]1,2[ \cup ]2,3]) \cup \{2\} $
i simplified it so much as i could. $ A:=\{x \in A | 1
now my attempts: minimum is 2 and maximum is 3 and i dont know how to find and define the infimum and supremum.
can someone please help me. i know the definition of infimum and supremum:
$Infimum=$ the maximum of all lower bounds
$Supremum=$ the minimum of all upper bounds
thanks for help