SOLUTION: Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.
p → (q ∨ p)
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-> SOLUTION: Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.
p → (q ∨ p)
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Question 812001: Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.
p → (q ∨ p) Answer by Edwin McCravy(20060) (Show Source):
p → (q ∨ p)
The rule for a ∨ b "It is F only when a is F and b is F, otherwise it's T".
The rule for a → b "It is F only when a is T and b is F, otherwise it's T".
p | q | q ∨ p | p → (q ∨ p) |
T | T | T | T |
T | F | T | T |
F | T | T | T |
F | F | F | T |
So p → (q ∨ p) is a tautology because the truth table contains only T's.
Edwin