Given the following sets:
u = {2, 7, 10, 15, 22, 27, 31, 37, 45, 55}
a = {10, 22, 27, 37, 45, 55}
b = {2, 15, 31, 37}
c = {7, 10, 15, 37}
give the set ac u (b ∩ c).
a) {2, 7, 10, 31, 37}
b) {2, 7, 15, 31, 37}
c) {2, 10, 15, 31, 37}
d) {2, 7, 15, 27, 37}
e) ∅
f) none of the above.

b) {2, 7, 15, 31, 37}

Step-by-step explanation:

Ac is the complement of A, that is, the elements that are in the U(universe) but not in A.

Ac - {2,7,15,31}

are the elements that are in both B and C. So

(B ∩ C) = {15,37}

Ac U (B ∩ C) are the elements that are in at least one of Ac or (B ∩ C).

Ac U (B ∩ C) = {2,7,15,31,37}

So the correct answer is:

b) {2, 7, 15, 31, 37}

Option b) is correct ie.,

Step-by-step explanation:

Given sets are

To find  

First to find

to find  

Therefore option b) is correct

Therefore  

your answer is option c.