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  

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.