# Finding an upper bound that is not the supremum

Homework Statement:
Let S=(0,1), find a real number M which is an upper bound of S, but M is not the supremum of S.
Relevant Equations:
S=(0,1)
I just want to see if I did this correctly, the interval (0,1) has 2 as an upper bound but the supremum of S is 1. So M would be equal to 2?

Thank you.

PeroK
Homework Helper
Gold Member
2020 Award
Yes, any number greater than 1 would do.

Yes, any number greater than 1 would do.
Okay thank you.

WWGD