Find the least upper bound (if it exists) and the greatest lower bound (if it exists) for the given set.
[5,7]
1
Expert's answer
2011-11-01T13:09:36-0400
S=[5,7]. The set of upper bound elements is the set of numbers which are greater than or equal to every element of S. So, it is [7, +inf) and the least element is 7. The set of lower bound elements is the set of numbers which are less than or equal to every element of S. So, it is (-inf, 5] and the greatest element is 5. So, Sup(S) = 7 and Inf(S) = 5.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment