Answer
As given below
Work Step by Step
a) $p \rightarrow q$: If $p$, then $q$
Some different ways to write the conditional statement:
"$q$ only if $p$"
"If $p,q$"
"$q$ when there is $p$"
"$p$ implies $q$"
"$q$ follows $p$"
b) Converse of $p \rightarrow q$: The conditional statement $q \rightarrow p $
"If $q$, then $p$"
Contrapositive of $p \rightarrow q$: The conditional statement $\neg q \rightarrow \neg p $
"If not $q$, then not $p$"
c) We are given:
“If it is sunny tomorrow, then I will go for a walk in the woods"
so $p=$ "If it is sunny tomorrow"
$q=$ "I will go for a walk in the woods"
The converse of the conditional statement, "If I go for a walk in the woods, then it is sunny tomorrow"
The contrapositive of the conditional statement, "If I do not go for a walk in the woods, then it is not sunny tomorrow"
