Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
Tell me the meanings of the following :
1.

2.upper and lower bound of a set
```
7 years ago

147 Points
```										Dear araku
An  upper bound  of a   subset   S  of some  partially ordered set  ( P, ≤) is an element of  P   which is  greater than or equal to  every element of  S. The term   lower bound  is defined  dually  as an element of  P  which is lesser  than or equal to every element of  S. A set with an upper bound is said  to be  bounded from above  by that bound, a set with a lower bound is  said to be  bounded from below  by that bound.    Properties    A subset   S  of a partially ordered set  P  may fail to have any bounds or may  have many different upper and lower bounds. By  transitivity, any  element greater than or equal to an upper bound of  S  is again an upper  bound of  S, and any element lesser than or equal to any lower bound of   S  is again a lower bound of  S. This leads to the consideration of   least upper bound s: (or  suprema) and  greatest lower bound s (or   infima).     The bounds of a subset  S  of a partially ordered set  P   may or may..
lets analyse above difinition with example.
suppose we have a set  { 5, 10, 34, 13934 }   then  2 and 5 are both lower bounds for the set . but 8 is not
lets another set {24} ,42 is both upper and lower bound for the set and all other numbers are either an upper bound or a lower bound for that  set.
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get youthe answer and detailed  solution very  quickly. We are all IITians and here to help you in your IIT JEE preparation.All the best. Regards,Askiitians ExpertsBadiuddin
```
7 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Differential Calculus

View all Questions »
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details