The converse of a conditional statement switches the order of the hypothesis and the conclusion.
Converse: Q→P= If the driveway is wet, then it is raining.
P Q Q→P
T T T
T F T
F T F
F F T
The inverse of a conditional negates both the hypothesis and the conclusion.
Inverse: ∼P→ ∼Q= If it is not raining, then the driveway is not wet.
P Q ∼P ∼Q ∼P→ ∼Q
T T F F T
T F F T T
F T T F F
F F T T T
The contrapositive of a conditional statement switches the hypothesis with the conclusion and negates both parts.
Contrapositive: ∼Q→ ∼P= If the driveway is not wet, then it is not raining.
P Q ∼P ∼Q ∼Q→ ∼P
T T F F T
T F F T F
F T T F T
F F T T T
Step-by-step explanation:
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