Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The domain for x and y is the set of all persons. Select the symbolic (s) of the following sentence: "All persons are friends with some funny and fair persons" O 3x 3y N(y) A R(y) →F(x,y)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise",
R(x): "x is fair". The domain for x and y is the set of all persons.
Select the symbolic (s) of the following sentence:
"All persons are friends with some funny and fair persons"
3x ay N(y) A R(y) →F(x,y)
None of all proposed answers
Vx ay N(y) A R(y) A F(x,y)
Vx 3y N(x) A R(x) →F(x,y)
Vx 3y N(y) A R(y) →F(x,y)
Transcribed Image Text:Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The domain for x and y is the set of all persons. Select the symbolic (s) of the following sentence: "All persons are friends with some funny and fair persons" 3x ay N(y) A R(y) →F(x,y) None of all proposed answers Vx ay N(y) A R(y) A F(x,y) Vx 3y N(x) A R(x) →F(x,y) Vx 3y N(y) A R(y) →F(x,y)
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