Usuario:Galindo6/ejercicio 3

5.

let p and q be the propositions.

p: It is below freezing.

Q: It is snowing.

write the following preposition using p and q logical connectives.

a) It is bellow freezing and snowing.

b) It is below freezing but not nowing.

c) It is not below freezing and it is not snowing.

d) It is either snowing or below freezing.(or both)

e) If it is below freezing, it is also snowing.

f) It is either below freezing or it is nsowing, but it is not snowing if it is below freezing.

A) $p\land q$

B) $p\land$ $\sim q$

C) $\sim p$ $\land$ $\sim q$

D) $q\lor p$

E) $p\Rightarrow q$

F) ( $p\lor q$ ) $\land$ ( $p$ $\Rightarrow \sim q$ )

G) $p\Leftrightarrow q$