Given the following Venn diagrams, represent X Y and X Y using words, roster method, and set notation, if possible.

Union  
Words: The union of X and Y is the natural numbers from 1 to 10.
Roster: X Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set Notation: X Y = { x | x 10, x N }

 

Intersection

 
Words: The intersection of X and Y is the numbers 4 and 5.
Roster: X Y = {4, 5}
Set Notation: X Y = { x | x = 4, 5}

 

Union  
Words: The union of X and Y is the letters of the alphabet H to R.
Roster: X Y = {H, I , J, K, L, M, N, O, P, Q, R}
Set Notation: It is not possible to write this in set notation.

 

Intersection

 
Words: The intersection of X and Y is the empty set because they are disjoint.
Roster: Because X Y is the empty set, there are no elements to list.
Set Notation: X Y = or X Y = {}