If P = False, Q = True, and R = False, what is the truth value of (~P ∧ Q) ∨ R?
- True
- False
- Cannot be determined
- None of these
Explanation
Given: P = False, Q = True, R = False
Expression: (~P ∧ Q) ∨ R
1. ~P = ~False = True
2. ~P ∧ Q = True ∧ True = True
3. (~P ∧ Q) ∨ R = True ∨ False = True
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Quick Rule
NOT changes the value.
AND is True only when both are True.
OR is True when at least one is True.
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