Answer to Question #344357 in Discrete Mathematics for Ttypre

Question

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. 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.

$A∪B=\{2,3,4,5,6,8\}.$

 

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

$A∩B=\{4,6\}.$

 

2. $A=\{3,5,7,9\} , B=\{4,5,6,7\}.$

a. 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.

$A−B=\{3,9\}.$

b.  $B- A=\{4,6\}.$

c. $A\cap B=\{5,7\}.$