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Homework on 23 October 2019:

[To be turned in on MONDAY (not Friday)]

  1. Let $\def\P{{\cal P}}\P(A)$ represent the power set of $A$.
    1. Show that $\P(X-A)-\{\emptyset\}\subseteq\P(X)-\P(A)$ for all sets $X$ and $A$.
    2. Show that the subset above can not be replaced by an equality.
  2. Prove by induction: $1+3+5+\cdots+(2n-1) = n^2$ for all natural numbers $n$.


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Created: 18 Oct 2019
Last modified: 23 Oct 2019 at 4:19 PM
Comments to: dpvc@union.edu
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