Which of the following is equivalent to the statement "Not all team-mates are friends"? A. O Væ.Vy.¬T(x,y) → F(x,y) B. O 3r.3y.T(x, y) ^ ¬F(y, x) C. O Væ.Vy.F(x, y) → ¬T(x,y) D. O Væ.Vy.T(x, y) → ¬F(x,y) EO Ya.Ay.T(x, y) A F(y.x)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 5E
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Please send correct answer Q4

Assume the following symbols for each of the questions below. The domain is people.
Symbol
Meaning
M(x)
x won a medal
A(x)
x is an athlete
C(r, y)
æ coaches y
F(x, y)
x and y are friends
T(x, y)
x and y are team-mates
D(x, y)
æ defeated y
Transcribed Image Text:Assume the following symbols for each of the questions below. The domain is people. Symbol Meaning M(x) x won a medal A(x) x is an athlete C(r, y) æ coaches y F(x, y) x and y are friends T(x, y) x and y are team-mates D(x, y) æ defeated y
Question 4 (see above)
Which of the following is equivalent to the statement "Not all team-mates are friends"?
A. O Væ.Vy.-T(x, y) → F(x,y)
B. O 3r.3y.T(x, y) ^ ¬F(y,x)
C. O Væ.Vy.F(x, y) → ¬T(x, y)
D. O Væ.Vy.T(x, y) → ¬F(x,y)
E. O Væ.Fy.T(x, y) ^ F(y, x)
F. O None of the above
Transcribed Image Text:Question 4 (see above) Which of the following is equivalent to the statement "Not all team-mates are friends"? A. O Væ.Vy.-T(x, y) → F(x,y) B. O 3r.3y.T(x, y) ^ ¬F(y,x) C. O Væ.Vy.F(x, y) → ¬T(x, y) D. O Væ.Vy.T(x, y) → ¬F(x,y) E. O Væ.Fy.T(x, y) ^ F(y, x) F. O None of the above
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