Let the domain of x and y be all people. Let W(x): “x is a woman", M(y): "y is a man", and L(x.y): "y loves x". Then Vx3y, [(W(x) A M(y)) → L(x,y)] means Every woman is loved by all men. Every woman has a man that loves her. Every man has a woman that loves him. Every man is loved by all women. O None of these

Let the domain of x and y be all people. Let W(x): “x is a woman", M(y): "y is a man", and L(x.y): "y loves x". Then Vx3y, [(W(x) A M(y)) → L(x,y)] means Every woman is loved by all men. Every woman has a man that loves her. Every man has a woman that loves him. Every man is loved by all women. O None of these

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

Let the domain of x and y be all people. Let W(x): “x is a woman", M(y): "y is a
man", and L(s.y): "y loves x". Then Vx3y, [(W(x) AM(y)) → L(x,y)] means
Every woman is loved by all men.
Every woman has a man that loves
her.
Every man has a woman that loves
him.
O Every man is loved by all women.
O None of these

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