Question

Statement if p then not q this is different statement than the one give in the notes

Answer 1

Given:

The conditional statement;

`\begin{gathered} \text{If p, then not q} \\ p\rightarrow\text{ \textasciitilde{}q} \end{gathered}`

A converse statement is a result of reversing its two constituent statements.

`\begin{gathered} \text{Conditional statement-If p, then not q} \\ \text{Converse statement-If not q, then p} \end{gathered}`

Therefore, the converse statement is: If not q, then p

The inverse statement assumes the opposite of each of the original statements.

`\begin{gathered} \text{Conditional statement-If p, then not q} \\ I\text{nverse statement-If not p, then q} \end{gathered}`

Therefore, the inverse statement is: If not p, then q

To get the contrapositive statement, we interchange the conclusion of the inverse statement.

Therefore, the contrapositive statement is: If q, then not p