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 (a) T(Maryam, y). (b) (3x S, T(x, Cyprus)) ^ (VxS, T(x, Vietnam)). (c) y C,T(Mona, y) V T(Pete, y). (d) Hr S HY E SAVEC (rtal/T/2)^T(x2))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
(a) -T(Maryam, y).
(b) (3x S, T(x, Cyprus)) ^ (VxS, T(x, Vietnam)).
(c) y C,T(Mona, y) V T(Pete, y).
(d) VS, VzS, 3y = C, (x2)→ ¬(T(x, y) ^ T(z,y)).
(e) 3r ES, 3z ES, Vy
C, (x2) ^ (T(x, y) ⇒T(z,y)).
(f) Vx € S, Vz € S, y
C, (T(x, y) ⇒T(z,y)).
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 (a) -T(Maryam, y). (b) (3x S, T(x, Cyprus)) ^ (VxS, T(x, Vietnam)). (c) y C,T(Mona, y) V T(Pete, y). (d) VS, VzS, 3y = C, (x2)→ ¬(T(x, y) ^ T(z,y)). (e) 3r ES, 3z ES, Vy C, (x2) ^ (T(x, y) ⇒T(z,y)). (f) Vx € S, Vz € S, y C, (T(x, y) ⇒T(z,y)).
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