91影视

A contrapositive of any statement is the switching of hypothesis and the conclusion of the inverse of that statement such thatto form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.

Consider the statement 鈥淚f $x$ is not even then $x+1$ is not odd鈥�.

Write the inverse of the conditional statement as follows:

If $x$ is even then $x+1$ is odd.

Interchange the hypothesis and the conclusion of the inverse statement to write the contrapositive of the statement as follows:

If $x+1$ is odd then $x$ is even.

Therefore, the contrapositive of the statement is 鈥淚f $x+1$ is odd then $x$ is even鈥�.

To form the inverse of a conditional statement, take the negation of both the hypothesis and the conclusion.

Consider the statement鈥淚f $x$ is not even then $x+1$ is not odd鈥�.

Take the negation of the hypothesis and the conclusion to write the inverse of the statement.

The negation of the hypothesis and the conclusion is 鈥淚f $x$ is even then $x+1$ is odd鈥�.

Therefore, the inverse of the statement is 鈥淚f $x$ is even then $x+1$ is odd鈥�.