High School

Consider the statement: "She will visit Kauai only if she can extend her vacation by at least two days."

(a) Write the converse of the given statement.

(b) Write the inverse of the given statement.

(c) Write the contrapositive of the given statement.

Answer :

Final answer:

The converse of a conditional statement is formed by reversing the hypothesis and conclusion of the original statement. The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion, and then reversing them.

Explanation:

(a) The converse of the given statement would be: 'If she can extend her vacation by at least two days, then she will visit Kauai.'

(b) The inverse of the given statement would be: 'She will not visit Kauai if she cannot extend her vacation by at least two days.'

(c) The contrapositive of the given statement would be: 'If she does not visit Kauai, then she cannot extend her vacation by at least two days.'

Learn more about Conditional statements here:

https://brainly.com/question/36974334

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