Question

If truth values of \( p \) be F and \( q \) be T, then truth value of \( \neg(p \vee q) \) is

• A. T
• B. F
• C. Either T or F
• D. Neither T nor F

Hint:

When evaluating logical expressions, first evaluate the truth value of the compound expression, then apply negations.

Answer 1

The Correct Option is B

Step 1: Evaluating the logical expression.
Since \( p = \text{F} \) and \( q = \text{T} \), \( p \vee q \) is T. Therefore, \( \neg(p \vee q) \) is F.

Step 2: Conclusion.
The truth value is F, corresponding to option (2).