If a set does not have supremum (infimum), then does it mean that it has no maximum (minimum)?
Fathima Niloofar , 5 Years ago
Grade 12th pass
Algebra> If a set does not have supremum (infimum)...
1 Answers
Aditya Gupta
Last Activity: 5 Years ago
hello 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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