Let S(x,y) be the predicate "person x has spoken to person y," where the domain forthe variables x and y is the set of all people. Express the following symbolicproposition as an English sentence:xVy(x, y)Every person has spoken to everyone.Some person has spoken to someone.Some person has spoken to everyone.Every person has spoken to someone.

Answered: Let S(x,y) be the predicate "person x…

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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For the simple statements p: There is a fire in the fireplace. q: The house is cold. Match each compound statement to its symbolic form. If the house is cold then there is no fire in the fireplace. There is a fire in the fireplace or the house is not cold. There is a fire in the fireplace and the house is not cold. There is a fire in the fireplace if and only if the house is not cold. There is no fire in the fireplace if and only if the house is cold. There is no fire in the fireplace or the house is cold. There is no fire in the fireplace and the house is cold. If there is a fire in the fireplace then the house is not cold. `p \rightarrow ~q` `p \leftrightarrow ~q` `~p \wedge q` `~p \leftrightarrow q` `p \vee ~q` `~p \vee q` `q \rightarrow ~p` `p \wedge ~q`
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