Questions: Let p and q represent the following simple statements: p : It is time to sleep. q : The chair is broken. Write the following compound statement in its symbolic form. It is time to sleep and the chair is not broken. The symbolic form is

Let p and q represent the following simple statements:
p : It is time to sleep.
q : The chair is broken.
Write the following compound statement in its symbolic form.
It is time to sleep and the chair is not broken.

The symbolic form is

Transcript text: Let $p$ and $q$ represent the following simple statements: $p$ : It is time to sleep. $q$ : The chair is broken. Write the following compound statement in its symbolic form. It is time to sleep and the chair is not broken. The symbolic form is $\square$

Solution

Solution Steps

Step 1: Assign Symbolic Representations to Simple Statements

It is time to sleep is represented as $p$
The chair is broken is represented as $q$

Step 2: Identify Logical Operators

Conjunction (AND) is represented as \land
Negation (NOT) is represented as \lnot

Step 3: Convert to Symbolic Form

The symbolic form of the compound statement is: $$p$ \land \lnot$q$$

Step 4: Ensure Accuracy of Symbolic Representation

The symbolic form accurately represents the logical structure of the English language statement, following the classical logic principles.

Final Answer:

The symbolic logic form of the given compound statement is: $$p$ \land \lnot$q$$

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