Propositional-Logic

Question 9

What is the converse of the following assertion?

  I stay only if you go.

A	I stay if you go
B	If I stay then you go
C	If you do not go then I do not stay
D	If I do not stay then you go

Question 9 Explanation:

“I stay only you go” = “If I stay then you go”
⇒ i.e., A→B
Where A = If I stay; B = you go
Converse for (A→B) is (B→A)
⇒ If you go then I stay.

Correct Answer: A

Question 9 Explanation:

“I stay only you go” = “If I stay then you go”
⇒ i.e., A→B
Where A = If I stay; B = you go
Converse for (A→B) is (B→A)
⇒ If you go then I stay.