Explore BrainMass
Share

# Sets

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

See attachment

1) Let > 0 and >0, and . Show that and are - neighborhoods of for appropriate values of .

2)Let and be nonempty sets and let : have bounded range in . Let :
and be defined by

,

Prove that

We sometimes express this by writing

.

© BrainMass Inc. brainmass.com October 24, 2018, 11:08 pm ad1c9bdddf
https://brainmass.com/math/algebraic-geometry/nonempty-set-bounded-range-182790

#### Solution Preview

Please see the attachment.

Problem #1
Proof:
As a math convention, is an -neighborhood of . Similarly, is a -neighborhood of .
If , ...

#### Solution Summary

This is a proof regarding nonempty sets. The nonempty set bounded range is examined.

\$2.19
See Also This Related BrainMass Solution

## Goal-Setting at Work

What impact do goals have on behavior? What type of goals facilitate the best results? Give an example of effective goal-setting at work.

View Full Posting Details