Sachchidanand Prasad

26-08-2023

Problem: Let $f$ be a function from a set $A$ to a set $B$. Let $S$ and $T$ be two nonempty subsets of $A$. Then show that
  • $f(S \cup T) = f(S) \cup f(T)$
  • $f(S \cap T) \subseteq f(S) \cap f(T)$.
Also, show that in part (2), the inclusion may be proper.
Solution: I encourage you to attempt to solve the problem today. The solution will be provided tomorrow. This will give you the opportunity to test your understanding of the problem and to improve your skills in solving similar problems in the future.