91Ó°ÊÓ

If the given statement is ‘’If p then q’’, the contrapositive is ‘’If not q then not p’â¶Ä™.

If the given statement is ‘’If p then q’’, the converse is ‘’If q then p’â¶Ä™.

If the given statement is ‘’If p then q’’, the inverse is ‘’If not p then not q’â¶Ä™.

The given statement is If $-2n<6$, then $n>-3$.

Solve it as follows:

$\begin{array}{c}-2n<6\\ -n<3\\ n>-3\end{array}$

Therefore, the given statement: If $-2n<6$, then $n>-3$is true.

Since $n<-3$therefore it follows:

$\begin{array}{c}n<-3\\ 2n<-6\\ -2n>6\end{array}$

The contrapositive of the given statement is If $n<-3$, then$-2n>6$

Thus, it is also true.

Since $n>-3$therefore it follows:

$\begin{array}{c}n>-3\\ 2n>-6\\ -2n<6\end{array}$

The converse of the given statement is If $n>-3$, then $-2n<6$.

Thus, it is true.

Since $-2n>6$therefore it follows:

$\begin{array}{c}-2n>6\\ -n>3\\ n<-3\end{array}$

The inverse of the given statement is If $-2n>6$, then$n<-3$

Thus, it is true.