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Find the negation of the following statement: "There exists a real number x such that for every real number y we have xy>0." Select one: O a. For every real number x, there does not exist a real number y such that xy20. O b. For every real number x, for each real number y, xy<0. O c. For every real number x, there exists a real number y such that xy<0. O d. For every real number x, there does not exist a real number y such that xy<0. O e. None of the other answers is the negation of this statement.

Find the negation of the following statement: "There exists a real number x such that for every real number y we have xy>0." Select one: O a. For every real number x, there does not exist a real number y such that xy20. O b. For every real number x, for each real number y, xy<0. O c. For every real number x, there exists a real number y such that xy<0. O d. For every real number x, there does not exist a real number y such that xy<0. O e. None of the other answers is the negation of this statement.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the negation of the following statement: "There exists a real number x such that for every real number y we have xy20." Select one: O a. For every real number x, there does not exist a real number y such that xy>0. O b. For every real number x, for each real number y, xy<0. C. For every real number x, there exists a real number y such that xy<0. O d. For every real number x, there does not exist a real number y such that xy<0. O e. None of the other answers is the negation of this statement. Check
Transcribed Image Text:Find the negation of the following statement: "There exists a real number x such that for every real number y we have xy20." Select one: O a. For every real number x, there does not exist a real number y such that xy>0. O b. For every real number x, for each real number y, xy<0. C. For every real number x, there exists a real number y such that xy<0. O d. For every real number x, there does not exist a real number y such that xy<0. O e. None of the other answers is the negation of this statement. Check
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