4. The following question concerns the conjecture: (* EZ)(3y e Z)(x + y = 0) (a) Rewrite the conjecture above as an English sentence. (b) The following is a proof of the conjecture above. Either verify the proof is correct, or explain why the proof is incorrect and provide a counterexample or correct proof. We prove this conjecture by contradiction. So, we assume that there exists x eZ such that for all y eZ, x+y 6= 0. But if we let x = 4 and y = -4, then x + y = 0, and we have a contradiction. Therefore the statement is %3D true

4. The following question concerns the conjecture: (* EZ)(3y e Z)(x + y = 0) (a) Rewrite the conjecture above as an English sentence. (b) The following is a proof of the conjecture above. Either verify the proof is correct, or explain why the proof is incorrect and provide a counterexample or correct proof. We prove this conjecture by contradiction. So, we assume that there exists x eZ such that for all y eZ, x+y 6= 0. But if we let x = 4 and y = -4, then x + y = 0, and we have a contradiction. Therefore the statement is %3D true

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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