To write the statements in symbolic form using $p$ and $q$, we first interpret the meanings of $p$ and $q$ based on the provided information:

• $p$: "It is Monday."
• $q$: "There are students in the classroom."

Symbolic Forms:

1. Statement 1: "If it is Monday, then there are students in the classroom."

   This is a conditional statement. In symbolic form, this is written as:

   $p \rightarrow q$ Which means "If $p$, then $q$."

2. Statement 2: "If there are no students in the classroom, then it is not Monday."

   This is also a conditional statement, but it involves the negation of both $q$ and $p$. In symbolic form, this is written as:

   $\neg q \rightarrow \neg p$ Which means "If not $q$, then not $p$."

Would you like more details on conditional statements or any other clarifications?

Here are 5 related questions to deepen your understanding:

1. How would you negate the statement $p \rightarrow q$?
2. What is the converse of $p \rightarrow q$?
3. What is the contrapositive of $p \rightarrow q$?
4. How would you express "There are no students in the classroom" using symbolic logic?
5. Can you give an example of a biconditional statement involving $p$ and $q$?

Tip: In logical statements, the contrapositive of $p \rightarrow q$ is always logically equivalent to the original statement!