Answer to Question #331334 in Discrete Mathematics for che

Question #331334

A.         Let p and q be propositions

p: 4 is an even integer

q: 5 is an odd integer

 

Write each of the following sentences in terms of p, q and logical connectives:

______________1. 4 is an even integer and 5 is an odd integer.

______________2. 4 is not an even integer or 5 is an odd integer.

______________3. If 4 is an even integer then 5 is an odd integer.

______________4. 4 is an even integer whenever 5 is an odd integer.

______________5. 4 is not an even integer if an only if 5 is not an odd integer.


1
Expert's answer
2022-04-24T18:01:05-0400

______________1. 4 is an even integer and 5 is an odd integer: "p \\wedge q"

______________2. 4 is not an even integer or 5 is an odd integer: "\\neg p \\vee q"

______________3. If 4 is an even integer then 5 is an odd integer: "p \\to q"

______________4. 4 is an even integer whenever 5 is an odd integer: "q \\to p"

______________5. 4 is not an even integer if an only if 5 is not an odd integer: "\\neg p \\leftrightarrow \\neg q"



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