Question

Find Find the infimum and supremum @[1,3,5,7,9]​

Answer 1

Answer:

Step-by-step explanation:

Infinum =1

Supremum = 9

Answer 2

Concept

A supremum is the smallest upper bound of a set, defined as a quantity such that no member of the set exceeds , but if there is some positive quantity, however small, there is a member that exceeds .

The infimum is the greatest lower bound of the set , defined as a quantity such that no member of the set is less than , but if there is any positive quantity, however small, there is always one member that is less than

Given

@[1,3,5,7,9] is given

Find

We need to find the the infimum and supremum

Solution

1 is the infimum as it is the greatest lower bound of the set and 9 is the supremum as it is the smallest upper bound of the set.

Hence 1 is the infimum and 9 is supremum

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