Write the converse, inverse, and contrapositive of the statement below If Austra

Question

Write the converse, inverse, and contrapositive of the statement below If Australia is an island, then Mexico is not an island The converse of the given statement is which of the following? 0 A. If Australia is not an island, then Mexico is an island B. If Mexico is not an island, then Australia is an island. ° C. If Mexico is an island, then Australia is not an island 0 D. Australia is not an island or Mexico is not an island The inverse of the given statement is which of the following? 0 A. Australia is not an island or Mexico is not an island 0 B. If Mexico is an island, then Australia is not an island. O C. If Australia is not an island, then Mexico is an island. O D. If Mexico is not an island, then Australia is an island

Explanation / Answer

Converse and inverse is correct.

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.

Statement: If p , then q

Contrapositive: If not q, then not p

Hence, the contrapositive for given statement is:

option d) If Mexico is an island, then Australia is not an island.

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