Which of the following the logic representation of proof by contrapositive?Question 1Select one:a.P → Q = ¬Q → ¬Pb.P → Q = ¬Q → Pc.P → Q = Q → ¬Pd.P → Q = ¬(Q → P)
Question
Which of the following the logic representation of proof by contrapositive?Question 1Select one:a.P → Q = ¬Q → ¬Pb.P → Q = ¬Q → Pc.P → Q = Q → ¬Pd.P → Q = ¬(Q → P)
Solution
The logic representation of proof by contrapositive is:
a. P → Q = ¬Q → ¬P
In logic, the contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then interchanging the resulting negations. So, if the original statement is P → Q, the contrapositive is ¬Q → ¬P.
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