The image contains the following problem in Indonesian:

Problem: "7. Tuliskan tabel kebenaran dari setiap proposisi:"

This translates to: "Write the truth table for each proposition:"

The propositions given are:

• a. $(\neg p \vee q) \vee p$
• b. $(p \vee q) \land \neg p$
• c. $(p \vee q) \vee (\neg p \vee q)$

I'll now create the truth tables for each of these propositions.Here are the truth tables for each proposition:

Explanation:

• a. $(\neg p \vee q) \vee p$: This evaluates to True for all combinations of $p$ and $q$.
• b. $(p \vee q) \land \neg p$: This is only True when $p$ is False and $q$ is True, meaning $p$ must be false and $q$ true for the conjunction to hold.
• c. $(p \vee q) \vee (\neg p \vee q)$: This evaluates to True for all combinations of $p$ and $q$.

Would you like further clarification on any specific part?

Here are some related questions:

1. How is the negation of a proposition applied in a truth table?
2. Why does the disjunction $p \vee q$ give True when either $p$ or $q$ is True?
3. Can you explain why the conjunction $p \land q$ is only true when both are true?
4. How does the truth table change if additional logical operators are included?
5. Can you simplify the given propositions using logical identities?

Tip:

Always start with the simplest logical components (like negation or disjunction) when constructing truth tables, then build up to more complex expressions.