Set Operations Suppose we are good with the definition of set.What kind of operations do we have on sets? We learned complement,union,intersection,.in high school. A few new operations:set difference,Cartesian product,power set. ·Set difference: :A\Beg{xlx∈A andB} A\B B Set difference is like subtraction of numbers,being neither commutative, nor associative.(Why not?) Example:Is set difference really like subtraction of numbers?For all sets A,B,C,do we have A\(BU C)=(A\B)U(A\C)?Set Operations  Suppose we are good with the definition of set. What kind of operations do we have on sets?  We learned complement, union, intersection, … in high school.  A few new operations: set difference, Cartesian product, power set.  Set difference:  Set difference is like subtraction of numbers, being neither commutative, nor associative. (Why not?)  Example: Is set difference really like subtraction of numbers? For all sets A, B, C, do we have A\(B ∪ C)=(A\B)∪(A\C) ? A\B B