Question

let p, q, and r represent the following simple statements.
p: i get an a.
q: i eat bananas.
r: it is time to sleep.
write the following compound statement in its symbolic form.
if i get an a or i do not eat bananas, then it is time to sleep.
complete the symbolic form by typing a symbolic statement in each input box.
□→□

Explanation:

Step1: Analyze the "or" part

The "I get an A or I do not eat bananas" part: \( p \) is "I get an A", "I do not eat bananas" is the negation of \( q \), so it's \(
eg q \). The "or" is represented by \( \vee \), so this part is \( p \vee
eg q \).

Step2: Analyze the "then" part

The "then it is time to sleep" part: \( r \) is "It is time to sleep", so this is \( r \).

Step3: Combine with implication

The "if... then..." structure is represented by \(
ightarrow \), so combining the two parts, we get \( (p \vee
eg q)
ightarrow r \).

Answer:

\( (p \vee
eg q)
ightarrow r \)