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0. What are the converse, inverse, and contrapositive of the following true conditional?If a number is 5, then it is odd.

User Jeff Morin
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Answer:

Converse: If a number is odd, then it is 5

Inverse: If a number is not 5, then it is not odd

Contrapositive: If a number is not odd, then it is not 5

Explanations:

The conditional statement is:

If a number is 5, then it is odd.

The Hypothesis = A number is 5

Conclusion = It is odd

The converse of a true conditional statement switches the hypothesis and the conclusion.

Therefore, the converse of the above true conditional will be:

If a number is odd, then it is 5

The inverse of a conditional statement negates the hypothesis and the conclusion.

Therefore, the inverse of the above true conditional is:

If a number is not 5, then it is not odd

The contrapositive of a conditional statement negates the hypothesis and and conclusion of the converse of the statement.

Therefore, the contrapositive of the above true conditional is:

If a number is not odd, then it is not 5

User GlaceCelery
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