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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 407 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016

In Practice 1.2(d) we found that the collection D of all prime numbers between 8 and 10 is a legitimate set. This is so because the statement “ x∈ D ” is always false, since there are no prime numbers between 8 and 10. Thus D is an example of the empty set, a set with no members. It is not difficult to show (Exercise 18) that there is only one empty set, and we denote it by ∅. For our first theorem we shall prove that the empty set is a subset of every set. Notice the essential role that definitions play in the proof. At this point, we really have nothing else to use as building blocks.
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