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8. Express the negation of each of these statements without just inserting "not" into the statement. That is, express the negation in "useful", "positive", or "direct" terms. (You may assume that the variables belong to some appropriate universe.) (Example: AC B. The negation could be stated "AB", but it can be stated "positively" as "there is some object in A - B".) a) x < y. b) z is composite. (Assume that z € N.) c) tEA UB.

8. Express the negation of each of these statements without just inserting "not" into the statement. That is, express the negation in "useful", "positive", or "direct" terms. (You may assume that the variables belong to some appropriate universe.) (Example: AC B. The negation could be stated "AB", but it can be stated "positively" as "there is some object in A - B".) a) x < y. b) z is composite. (Assume that z € N.) c) tEA UB.

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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8. Express the negation of each of these statements without just inserting "not" into the statement. That is, express the negation in "useful", "positive", or "direct" terms. (You may assume that the variables belong to some appropriate universe.) (Example: A C B. The negation could be stated "AB", but it can be stated "positively" as "there is some object in A - B".) a) x < y. b) z is composite. (Assume that z E N.) c) tEAUB.
Transcribed Image Text:8. Express the negation of each of these statements without just inserting "not" into the statement. That is, express the negation in "useful", "positive", or "direct" terms. (You may assume that the variables belong to some appropriate universe.) (Example: A C B. The negation could be stated "AB", but it can be stated "positively" as "there is some object in A - B".) a) x < y. b) z is composite. (Assume that z E N.) c) tEAUB.
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