Let u=(4, 5, 6, 7, 8, 9, 10, 11), a = (s, 7, 9), b following. (enter your answers as a comma-separated list.) {4, 5, 8, 11), and c = (4, 6, 10). find the (a u b) n (bn c')

 (A U B) n (B n C') = {5, 8, 11}.

Step-by-step explanation:  We are given the following sets :

U = {4, 5, 6, 7, 8, 9, 10, 11},

A = {5, 7, 9},

B = {4, 5, 8, 11}

and

C = {4, 6, 10}.

We are to find the following :

(A U B) n (B n C')

We know that for any two sets A and B,

A ∪ B contains all the elements present in set A or set B or both,

A ∩ B contains all the elements present in both A and B,

A - B contains all those elements which are present in A but not B

and

A' contains all the elements present in the universal set U but not A.

We will be suing the following rule of set of theory :

A ∩ B' = A - B.

Therefore, we have

Thus,  (A U B) n (B n C') = {5, 8, 11}.

2/3=10/15

1/5=3/15

10+3=13/15

2 13/15 is the answer