Let p and q be two propositional statements,
The conditional of the two statements is
'If p then q'
written symbolically as
[tex]p \rightarrow q [/tex]
The converse is
'If q then p'
written symbolically as
[tex]q \rightarrow p [/tex]
The Inverse is
'If not p then not q'
written symbolically as
[tex]\neg p \rightarrow \neg q [/tex]
The contrapositive is
'If not q then not p'
written symbolically as
[tex]\neg q \rightarrow \neg p [/tex]
In order to determine which pairs have the same truth value, we draw a truth table as in the diagram.
We can see from the diagram that the conditional and the contrapositive have the same truth value.
The correct option is D.
