2. Let S denotes the set of all students in your class, C denotes the set of all countries, and T(x, y) denotes that a travels to country y. Express each of the following statements by a simple English sentence. Avoid symbols (e.g. a) and predicates (e.g. T(x,y)) in English sentences. 1 (d) VS, VzS, 3y = C, (x2)→ ¬(T(x, y) ^ T(z,y)). (e) 3r ES, 3z ES, Vy C, (x2) A (T(x,y) →T(z,y)). (f) VS, VzS, y C, (T(x, y) ⇒T(z,y)).
2. Let S denotes the set of all students in your class, C denotes the set of all countries, and T(x, y) denotes that a travels to country y. Express each of the following statements by a simple English sentence. Avoid symbols (e.g. a) and predicates (e.g. T(x,y)) in English sentences. 1 (d) VS, VzS, 3y = C, (x2)→ ¬(T(x, y) ^ T(z,y)). (e) 3r ES, 3z ES, Vy C, (x2) A (T(x,y) →T(z,y)). (f) VS, VzS, y C, (T(x, y) ⇒T(z,y)).
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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Transcribed Image Text:2. Let S denotes the set of all students in your class, C denotes the set of all countries, and T(x, y)
denotes that a travels to country y.
Express each of the following statements by a simple English sentence.
Avoid symbols (e.g. a) and predicates (e.g. T(x,y)) in English sentences.
1
(d) VS, VzS, 3y = C, (x2)→ ¬(T(x, y) ^ T(z,y)).
(e) 3r ES, 3z ES, Vy
C, (x2) A (T(x,y) →T(z,y)).
(f) VS, VzS, y
C, (T(x, y) ⇒T(z,y)).
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