Question

Let p and q represent the following simple statements:

p: The play is boring.
q: The stove is hot.
r: It is Tuesday.
Write the following compound statement in its symbolic form.
It is Tuesday, if and only if the play is boring and the stove is not hot.

Answer 1

The compound statement 'It is Tuesday, if and only if the play is boring and the stove is not hot' in symbolic form is r ↔️ (p ∧ ¬q).

Step-by-step explanation:

To write the compound statement in symbolic form, we need to define the simple statements and their corresponding symbols. Let's denote p as 'The play is boring', q as 'The stove is hot', and r as 'It is Tuesday'.

The compound statement, 'It is Tuesday, if and only if the play is boring and the stove is not hot', can be represented as r ↔️ (p ∧ ¬q), where ↔️ represents 'if and only if', ∧ represents 'and', and ¬ represents 'not'.

So, the symbolic form of the given compound statement is r ↔️ (p ∧ ¬q).

Learn more about Symbolic representation of compound statements