Advertisement

Given A = {a,x,y,r,s}, B = {1,3,5,7,-10},verify the commutative property of set union.

Question 5
Given A = {a,x,y,r,s}, B = {1,3,5,7,-10},verify the commutative property of set union.
Solution:
commutative property of set union
A U B = B U A
A U B = {a,x,y,r,s} U {1,3,5,7,-10}
    =  {a,x,y,r,s,1,3,5,7,-10}   ------ (1)
B U A = {1,3,5,7,-10} U {a,x,y,r,s}
    =  {a,x,y,r,s,1,3,5,7,-10}  ------ (2)

(1) = (2)