Question
Mathematics Question on mathematical reasoning
The converse of the contrapositive of p→∼q is
A
∼q→q
B
p→∼q
C
∼p→∼p
D
∼q→p
Answer
∼p→∼p
Explanation
Solution
Converse of p→q is q→p, then the contrapositive of q→p is ∼p→∼q.
The converse of the contrapositive of p→∼q is
∼q→q
p→∼q
∼p→∼p
∼q→p
∼p→∼p
Converse of p→q is q→p, then the contrapositive of q→p is ∼p→∼q.