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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 2 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
1.)
a) Disprove by giving a counterexample that for any sets A,B,C, A∩(B∪C) = (A∩B)∪C.
b) Prove that (B −A)∪(C −A) = (B ∪C)−A. First show that every element on the left side belongs to the right side, then show that every element from the right side belongs to the left side, using definitions of union and difference.
c) Let g: A → B and f : B → C be one-to-one functions, where A, B, C are arbitrary sets. Prove that their composition f ◦g: A → C is a one-to-one function.
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