The given statements are:

• $p$: You studied.
• $q$: You passed this course.

The phrase "You studied, and you passed this course." uses the logical AND operator ($\land$), which means both statements must be true.

Thus, the symbolic form is:

$p \land q$

Would you like a detailed explanation of logical operators?

Here are some related questions:

1. What is the symbolic form of "You studied or you passed this course"?
2. How do you express "If you studied, then you passed this course" symbolically?
3. What is the negation of "You studied, and you passed this course"?
4. How do you represent "You did not pass this course" using symbolic logic?
5. How do logical connectives relate to truth tables?

Tip

The AND operator ($\land$) is only true when both statements are true. If either one is false, the entire expression is false.