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Sets

myzzstarr
myzzstarr 


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 Tags Clarifications

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