(1 point) consider the universal set u={1,2,3,4,5,6,7,8,9,10}, define the set a be the even numbers, the set b be the odd numbers, and the set c={4,5,6}. complete the following exercises in set notation.
(a) a u c
(b) b n c
(c) a n b
(d) b - c

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

no one knows lol

step-by-step explanation: