Respuesta :
Answer:
Check the explanation
Explanation:
Z -> the set of all integers
Z+ -> the set of all positive integers
Z- -> the set of all negative integers
A -> the set of all integers evenly divisible by 3
B -> {4,5,9,10}
C -> {2,4,11,14}
D -> {3,6,9}
E -> {4,6,16}
Questions:
a. B U C
  Answer: {2,4,5,9,10,11,14}
b. A ∩ D
  Answer: {3,6,9}
c. A ∩ C
  Answer: {} or null set or ∅
d. (B⊕D) ⊕ E
  Answer:
  A ⊕ B denotes the Symmetric difference between A and B.
  The result of the operation is the elements that in either of the sets but not in their intersection.
  For the question
  B -> {4,5,9,10}
  D -> {3,6,9}
  Elements that are not in the intersection of the two sets that are.
  {3,4,5,6,10} here 9 is omitted because it is present in both the sets.
  {3,4,5,6,10} ⊕ E
  E -> {4,6,16}
  The result will be {3,5,19,16} here 4,6 are the intersection of both sets.
  So the answer is {3,5,19,16}
e. A U D
  Answer: the set of all integers divisible evenly by 3.
f. E – D
  Answer: {4,16}
g. D – E
  Answer: {3,9}
h. (Z – Z+) – Z-
  Answer: (Z – Z+) means remove all the integers from Z that are present in   Z+ which results all the negative integers and 0.
  ({0,Z-} – Z- ) results in {0}.
  So the final answer is {0}