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9. Let E follow

9. Let E follow

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 10

9. Let E be the set of even numbers, and let P be the set of prime numbers. Use set notation to express the following statement: "2 is the only even prime number." 10. Two sets are called disjoint if they have no elements in common, i.e., if their intersection is the empty set. Prove that finite sets A and B are disjoint if and only if |A| + |B| = |A U BI. Use the definition of Ø and the inclusion-exclusion principle (Equation 2.2.3) in your proof. 11. In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise their hands. Nine hands go up. Then the professor asked everyone with a pierced ear
Transcribed Image Text:9. Let E be the set of even numbers, and let P be the set of prime numbers. Use set notation to express the following statement: "2 is the only even prime number." 10. Two sets are called disjoint if they have no elements in common, i.e., if their intersection is the empty set. Prove that finite sets A and B are disjoint if and only if |A| + |B| = |A U BI. Use the definition of Ø and the inclusion-exclusion principle (Equation 2.2.3) in your proof. 11. In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise their hands. Nine hands go up. Then the professor asked everyone with a pierced ear
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