see attachment
7. Let A be the set of English words that contain the letter x, and let B be the set of English words that contain the letter q. Express each of these sets as a combination of A and B.
a) The set of English words that do not contain the letter x.
b) The set of English words that contain an x or a q, but not both.
c) The set of English words that do not contain either an x or a q.
8. Use a single Venn diagram to illustrate the relations A ⊆ B and B ⊆ C. Is it true that A ⊆ C?
9. (2 points) Draw the Venn diagram for each of these combinations of the sets A, B, and C.
a) A ∩ (B ∪ C)
b) Ac ∩ Bc ∩ Cc
c) (A – B)∪ (A – C) ∪ (B – C)
12. Let A = {1, 2, 4, 5, 6, 9}, B = {1, 2, 3, 4}, and C = {5, 6, 7, 8}.
a) Draw a Venn diagram showing the relationship between these sets.
b) What are the elements in each of the following sets? A ⊕ B, (A ∪ B) – (A ∩ C)
13. Given the set A and B in the universal set U. Fill in the blank space:
a. A ∪ ∅ =
b. A ∪ A =
c. A ∩ ∅ =
d. A ∩ A =
e. A \ ∅ =
f. A \ A =
g. A ∪ U =
h. A ∩ U =
I. A ∪ Ac =
j. A ∩ Ac =
k. A ⊕ A =
l. A ⊕ Ac =Attachments