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Consider the following 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.
If she does not visit Kauai, then she could not extend her vacation by at least two days.
If she can extend her vacation by at least two days, then she will visit Kauai.
If she cannot extend her vacation by at least two days, then she will not visit Kauai.
If she visits Kauai, then she could not extend her vacation by at least two days.
If she extends her vacation by at least two days, then she cannot visit Kauai.
She can visit Kauai if and only if she extends her vacation by at least two days.

(b) Write the inverse of the given statement.
If she does not visit Kauai, then she could not extend her vacation by at least two days.
If she can extend her vacation by at least two days, then she will visit Kauai.
If she cannot extend her vacation by at least two days, then she will not visit Kauai.
If she visits Kauai, then she could not extend her vacation by at least two days.
If she extends her vacation by at least two days, then she cannot visit Kauai.
She can visit Kauai if and only if she extends her vacation by at least two days.

(c) Write the contrapositive of the given statement.
If she does not visit Kauai, then she could not extend her vacation by at least two days.
If she can extend her vacation by at least two days, then she will visit Kauai.
If she cannot extend her vacation by at least two days, then she will not visit Kauai.
If she visits Kauai, then she could not extend her vacation by at least two days.
If she extends her vacation by at least two days, then she cannot visit Kauai.
She can visit Kauai if and only if she extends her vacation by at least two days.

Sagot :

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