The contrapositive of p → q is the proposition of ____________
Question
The contrapositive of p → q is the proposition of ____________
Solution 1
The contrapositive of p → q is the proposition of ¬q → ¬p. This means that if q is not true, then p is not true. It's a way of flipping and negating a conditional statement in logic.
Solution 2
The contrapositive of p → q is the proposition of ¬q → ¬p. This means that if q is not true, then p is not true. It's a way of flipping and negating a conditional statement in logic.
Similar Questions
The contrapositive of p → q is the proposition of ____________ans.q → p¬p → ¬q ¬q → p¬q → ¬p
p → q is logically equivalent to ________
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)
A proof that p → q is true based on the fact that q is true, such proofs are known as ___________ a. Direct proof b. Contrapositive proofs c. Trivial proof d. Proof by cases
p → q is logically equivalent to ________ ans. ¬p ∨ q ¬p ∨ ¬q p ∨ ¬q ¬p ∧ q
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