If pp is false and qq is true, find the truth value of:
p, or, \neg, q
p∨¬q

Given that \( p \) is false and \( q \) is true, let's evaluate the expression \( p \lor \neg q \).

### Step 1: Determine the truth value of \( \neg q \).
- Since \( q \) is true, \( \neg q \) (not \( q \)) is false.

### Step 2: Evaluate \( p \lor \neg q \).
- The logical OR ( \( \lor \) ) operation between two statements is true if at least one of the statements is true. In this case:
  \[
  p \lor \neg q = \text{false} \lor \text{false} = \text{false}
  \]

### Conclusion
The truth value of \( p \lor \neg q \) is **false**.

Would you like more details or have any questions? 

Here are some related questions:

1. What is the truth value of \( \neg p \lor q \) if \( p \) is true and \( q \) is false?
2. How does the truth value of \( p \land q \) change if both statements are false?
3. What is the effect of the NOT operator (\( \neg \)) on the truth value of a statement?
4. How does the truth value of \( p \lor q \) change if \( p \) is true and \( q \) is false?
5. Can a compound statement involving OR (\( \lor \)) ever be false if one of the statements is true?

**Tip:** When dealing with logical expressions, it's important to handle the NOT (\( \neg \)) operator first before evaluating the rest of the expression.

Understand how to evaluate the truth value of the logical expression p OR NOT q when given specific truth values for p and q. Learn step-by-step with detailed explanations. Suitable for high school students studying logical operators and truth values.

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