1 Let A ab B abA and C AB Determine the following a A U B U

1. Let A:= {a,b}, B:= {a,b,{A}}, and C:= {A,B}. Determine the following:

(a) (A U B) U C

(b) (A U C) B

(c) B x C

Solution

Ans: a) (AUB) U C = { a,b, {a,b}} U {a,b,{a,b}} = {a,b,{a,b}}

b) (A U C) and B = {a,b,{a,b}} and {a,b, {a,b}} = {a,b,{a,b}}

c) B x C = {a,{a,b,{a,b}}}, {b,{a,b,{a,b}}} , {{a,b},{a,b,{a,b}}}