Discrete mathematics: Give the truth value of each of the following statements. Justify your answer. a) see image below for propositionb) see image bel,ow for propositionNote: In this exercise N does not contain 0. Donnez la valeur de vérité de chacune des propositions suivantes. Justifiez votre réponse.(a) 3(r, y) EN x N, Vz E N/ 2 > r".(b) Vr ER, Vy E R, 3z E R/ r.y > 2.Remarque : Dans cet exercice N ne contient pas 0.

The proposition is ∃x,y∈N×N,∀z∈N/z>xy let (x,y)=(2,3) and z= 4 4>23 is false therefore the…

Donnez la valeur de vérité de chacune des propositions suivantes. Justifiez votre réponse. (a) 3(r, y) € N x N, Vz E N/ 2 > r". (b) Vr ER, Vy E R, 3z E R/ r y > 2. Remarque : Dans cet exercice N ne contient pas 0.

Donnez la valeur de vérité de chacune des propositions suivantes. Justifiez votre réponse. (a) 3(r, y) € N x N, Vz E N/ 2 > r". (b) Vr ER, Vy E R, 3z E R/ r y > 2. Remarque : Dans cet exercice N ne contient pas 0.

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

Discrete mathematics: Give the truth value of each of the following statements. Justify your answer.

a) see image below for proposition

b) see image bel,ow for proposition

Note: In this exercise N does not contain 0.

Donnez la valeur de vérité de chacune des propositions suivantes. Justifiez votre réponse.
(a) 3(r, y) EN x N, Vz E N/ 2 > r".
(b) Vr ER, Vy E R, 3z E R/ r.y > 2.
Remarque : Dans cet exercice N ne contient pas 0.

Expert Solution

Step 1

The proposition is $\exists (x, y) \in N \times N, \forall z \in N / z > x^{y}$

let $(x, y) = (2, 3)$ and z= 4

$4 > 2^{3} i s f a l s e$

therefore the truth value is FALSE

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