Grade 12th passAlgebra
If a set does not have supremum (infimum), then does it mean that it has no maximum (minimum)?
If a set does not have supremum (infimum), then does it mean that it has no maximum (minimum)?
1 Answer
Aditya Gupta
Approved Tutor Answer6 Years agohello fathima, note the following fact:
if a set has a maximum, then IT IS the supremum.
now, if there did exist a maximum, then the supremum would automatically exist and be equal to maximum.
hence, the above statement is true that If a set does not have supremum (infimum), then does it mean that it has no maximum (minimum).
kindly approve :)
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