Given two statements: r -> s and ~s -> ~r, in which way is the second statement related to the first?

a.) converse
b.) inverse
c.) contrapositive
d.) biconditional

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again, contrapositive

To determine the relationship between the two given statements, we can examine their logical structure.

The first statement, "r -> s," can be read as "if r, then s." This is an example of a conditional statement, where r is the antecedent (the statement before the arrow) and s is the consequent (the statement after the arrow).

The second statement, "~s -> ~r," can be read as "if not s, then not r." This is the negation of the first statement.

In logic, the contrapositive of a conditional statement is formed by negating both the antecedent and consequent and flipping their order. In this case, the second statement is the contrapositive of the first statement.

Therefore, the correct answer is c.) contrapositive.