Which of the following is equivalent to the statement "All coaches have won a medal."? A. O Væ.Vy.M(x) → C(x, y) B. O Vx.#y.C(x, y) ^ ¬M(x) c. O Vx.Vy.-C(x, y) V¬M(x) D. O x.Vy.M(x) → C(x, y) E. O Væ. y.C(x, y) ^ M(x) F. O None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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Please send correct answer Q3

 

Question 3 (see above)
Which of the following is equivalent to the statement "All coaches have won a medal."?
A. O Vr.Vy.M(x) → C(x,y)
B. O Vr.Ay.C(r, y) ^ ¬M (x)
C. O Væ.Vy.¬C(x, y) V ¬M(x)
D. O Fa.Vy.M(x) → C(x, y)
E. O Væ.3y.C(x, y) ^ M(x)
F. O None of the above
Transcribed Image Text:Question 3 (see above) Which of the following is equivalent to the statement "All coaches have won a medal."? A. O Vr.Vy.M(x) → C(x,y) B. O Vr.Ay.C(r, y) ^ ¬M (x) C. O Væ.Vy.¬C(x, y) V ¬M(x) D. O Fa.Vy.M(x) → C(x, y) E. O Væ.3y.C(x, y) ^ M(x) F. O None of the above
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
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