The expression in the image is:

$(p \land q) \to p$

This is a logical implication statement in propositional logic. Let's break it down:

• $p \land q$: This means "p AND q." It's true if both $p$ and $q$ are true, and false otherwise.
• $\to$: This is the implication operator, meaning "if ... then."
• The whole expression $(p \land q) \to p$ reads as "if $p \land q$ is true, then $p$ is true."

Truth Table

We can construct the truth table to see when this statement holds.

The expression is always true, except when $p \land q$ is true and $p$ is false, which doesn't occur in the truth table. Therefore, $(p \land q) \to p$ is a tautology (always true).

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. What does $p \lor q$ represent in propositional logic?
2. How do you construct the truth table for $p \lor q \to r$?
3. What is the contrapositive of $(p \land q) \to p$?
4. Can you show an example where $(p \lor q) \to p$ is false?
5. What is the negation of the implication $(p \land q) \to p$?

Tip: In logic, an implication $A \to B$ is false only when $A$ is true and $B$ is false.