The statement below is false. Correct it by changing two symbols.
"The interval (a,b) contains its infimum and its supremum."
I'll give you a hint.
The interval (a, b) is an open interval. What you need is a closed interval.
Parentheses are used for open intervals.
What symbol is used for closed intervals?
I hope this will help.
To correct the statement, we need to change two symbols. Since the given interval is an open interval (a, b), we need to change the symbols to represent a closed interval. In mathematics, square brackets [] are used to denote closed intervals. So, we can correct the statement as follows:
"The interval [a, b] contains its infimum and its supremum."
By making this change, we switched from using parentheses to using square brackets, which signifies a closed interval. Now, the corrected statement accurately represents that both the infimum and supremum are contained within the closed interval [a, b].