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

Statement If P Then Not Q This Is Different Statement Than The One Give In The Notes class=

Sagot :

Solution:

Given:

The conditional statement;

[tex]\begin{gathered} \text{If p, then not q} \\ p\rightarrow\text{ \textasciitilde{}q} \end{gathered}[/tex]

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

[tex]\begin{gathered} \text{Conditional statement-If p, then not q} \\ \text{Converse statement-If not q, then p} \end{gathered}[/tex]

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

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

[tex]\begin{gathered} \text{Conditional statement-If p, then not q} \\ I\text{nverse statement-If not p, then q} \end{gathered}[/tex]

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

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

[tex]\begin{gathered} \text{Conditional statement-If p, then not q} \\ I\text{nverse statement-If not p, then q} \\ \\ \text{Hence, the contrapositive statement is gotten by reversing the conclusion of the inverse statement.} \\ \text{Contrapositive statement-If q, then not p} \end{gathered}[/tex]

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

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