Respuesta :
The given statements can be expressed as
a) [tex]$p \land q$[/tex].
b) [tex]$p \land\neg q$[/tex]
c) [tex]$\neg(p \lor q)$[/tex]
d) [tex]$p \land (q \lor r)$[/tex]
e) [tex]$r \land (p \lor q)$[/tex]
f) [tex]$r \land (p \land \neg q)$[/tex]
What is a logical expression?
A statement that can be true or false is referred to as a logical expression Depending on the values of p and q, it can be true or false. This is distinct from a mathematical expression, which represents a true statement.
The given statements are
p: it is windy.
q: it is cold.
r: it is raining.
Now
a) it is windy and cold
This statement can be expressed as - [tex]$p \land q$[/tex].
(b) it is windy but not cold.
This statement can be expressed as - [tex]$p \land\neg q$[/tex]
(c) it is not true that it is windy or cold. - [tex]$\neg(p \lor q)$[/tex]
(d) it is raining and it is windy or cold. - [tex]$p \land (q \lor r)$[/tex]
(e) it is raining and windy or it is cold. [tex]$r \land (p \lor q)$[/tex]
(f) it is raining and windy but it is not cold. [tex]$r \land (p \land \neg q)$[/tex]
Hence, the given statements can be expressed as
a) [tex]$p \land q$[/tex].
b) [tex]$p \land\neg q$[/tex]
c) [tex]$\neg(p \lor q)$[/tex]
d) [tex]$p \land (q \lor r)$[/tex]
e) [tex]$r \land (p \lor q)$[/tex]
f) [tex]$r \land (p \land \neg q)$[/tex]
To learn more about logical statements, visit:
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