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Sticky Note
If P = False, Q = True, and R = False, what is the truth value of (~P ∧ Q) ∨ R?
  1. True
  2. False
  3. Cannot be determined
  4. 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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