Answer to Question #331483 in Discrete Mathematics for Dreaper

Question

Provide the answers to the following items. (5 items x 3 points)

1.      Given A = {2, 4, 6, 8} and B = {3, 4, 5, 6}, determine:

a)      A U B

b)     A ∩ B

2.      Given A = {3, 5, 7, 9} and B = {4, 5, 6, 7}, determine:

a)      A - B

b)     B - A

c)      A ∩ B

Answer 1

$1. \ A=\{2,4,6,8\} , B=\{3,4,5,6\}\\ a)\ A\cup B=\{2,3,4,5,6,8\}\\$

For two given sets A and B, A∪B (A union B) is a set containing all elements that are in at least one of the sets A, B. 

$b)\ A\cap B=\{4,6\}$

A∩B (A intersection B) is the set of common elements that belong to set A and B.

$2. \ A=\{3,5,7,9\} , B=\{4,5,6,7\}\\ a)\ A- B=\{3,9\}\\$

The difference between set A and set B denoted as A − B lists all the elements that are in set A but not in set B. 

$b)\ B- A=\{4,6\}\\ c)\ A\cap B=\{5,7\}$