Math 199 (Assignments)

[To be turned in on Friday]

1. Let $f\colon X\to Y$ be a function.
   1. Prove that if $f$ is one-to-one, then $f(A\cap B)=f(A)\cap f(B)$ for all subsets $A$ and $B$ of $X$.
   2. Show that equality need not hold if $f$ is not one-to-one.
   3. Extra Credit: Prove the converse of (a).

Math 199 (Fall 2019) web pages Created: 6 Nov 2019 Last modified: 6 Nov 2019 at 2:12 PM Comments to: dpvc@union.edu

Assignments