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The truth table you've provided asks to complete the values for the logical expression \(\neg p \land q\), where \(p\) and \(q\) represent propositions that can either be true (V) or false (F). 

Let's go through the steps to complete this table.

### Logical operations:
1. \(\neg p\) is the negation of \(p\). If \(p\) is true (V), then \(\neg p\) is false (F). If \(p\) is false (F), then \(\neg p\) is true (V).
2. \(\land\) represents logical "and". For the conjunction (\( \land \)) to be true, both operands must be true.

### Completing the table:

| \(p\) | \(q\) | \(\neg p\) | \(\neg p \land q\) |
|:-----:|:-----:|:----------:|:------------------:|
|   V   |   V   |     F      |         F          |
|   V   |   F   |     F      |         F          |
|   F   |   V   |     V      |         V          |
|   F   |   F   |     V      |         F          |

### Explanation:
1. For the first row, where \(p = V\) and \(q = V\):
   - \(\neg p = F\), and \(F \land V = F\).
   
2. For the second row, where \(p = V\) and \(q = F\):
   - \(\neg p = F\), and \(F \land F = F\).
   
3. For the third row, where \(p = F\) and \(q = V\):
   - \(\neg p = V\), and \(V \land V = V\).
   
4. For the fourth row, where \(p = F\) and \(q = F\):
   - \(\neg p = V\), and \(V \land F = F\).

Would you like further details or explanations?

Here are some questions to explore related concepts:
1. What happens if we change the logical operator from \(\land\) to \(\lor\) (OR)?
2. How do you construct the truth table for a compound statement like \((p \lor q) \land \neg r\)?
3. What is the meaning of a tautology in logic?
4. How does the truth table change if we negate the entire expression, \(\neg (\neg p \land q)\)?
5. Can you explain the difference between logical equivalence and implication?

**Tip:** To avoid errors when constructing truth tables, always calculate intermediate steps, such as \(\neg p\), before combining them with other operators.

Complete a truth table for the expression \( \neg p \land q \).

Complete the truth table for the logical expression \( \neg p \land q \), using concepts from propositional logic. Suitable for students in Grades 9-12 learning about logical operators like negation and conjunction.

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