Given A={1,2,3,4,5,6},B={1,2} and C={6,7}. Evaluate each set.

Question

(a). A n B, (b). A U C, (c). B U C ,(d).(A U B) n C, (e). A U (B U C) ,(f).(A n B) n C ,(g).(A n B) U C.

Answer 1

The sets are , and .

= The union of two sets A and B is the set of elements in A or B (or both).

= The intersection of two sets A and B is the set of elements common to both A and B.

 

a) 

 

b) 

 

c) 

 

d)

 

e) A U (B U C)

A U (B U C) = {1, 2, 3, 4, 5, 6} U {1, 2, 6, 7} = {1, 2, 3, 4, 5, 6, 7}.

 

f)

 

g)