The contrapositive of p → q is the proposition of ____
Question
The contrapositive of p → q is the proposition of ____
Solution
The contrapositive of p → q is the proposition of ¬q → ¬p.
Here's the step by step explanation:
-
The original statement is p → q, which can be read as "if p then q".
-
The contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then reversing the direction of the implication.
-
So, for the statement p → q, the contrapositive would be "if not q then not p", which is symbolically represented as ¬q → ¬p.
Similar Questions
The contrapositive of p → q is the proposition of ____________ans.q → p¬p → ¬q ¬q → p¬q → ¬p
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)
p → q is logically equivalent to ________
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
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.