Answer to Question #340731 in Discrete Mathematics for SHE

Question

Let 

L(x,y

) be the statement “xl loves y,” where the universe of discourse for both x and y consist of all people in the world. Express each of these quantifications in English.  (a)    

Every body loves somebody.

  

 (b)   

There is somebody whom everybody loves.

 

 (c) There is somebody whom Lynn does not love. 

 

Answer 1

a. ∀x∃yL(x,y)

b. ∃y∀xL(x,y)

c.$∃y\neg L(Lynn,y)$