Question Three - Set Algebra

Showing all your working and giving a reason for each step, use the laws of set algebra to simplify

 (de Morgan's law)

       =A∪( (associative law)

       =A∪( (idempotent law)

       =(A∪ (distributive law)

       =U∩(A∪B) (union with complement)

        (identity law)

 

So  simplifies to .