Geometry

Assume the following is a true statement.

If it is raining, I will carry an umbrella.

Which form of the original statement must also be true?

a- converse

b-- inverse

c- contrapositive

d- biconditional

My answer is c contrapositive

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  1. Right, if the statement is true, the contrapositive is true.

    statement
    If a cow, then a mammal

    converse
    If a mammal then a cow
    who knows?

    Inverse
    If not a cow, then not a mammal
    who knows?

    Contrapositive
    If not a mammal, then not a cow
    TRUE

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  2. In other words if I am not carrying an umbrella, it is not raining.

    The biconditional would be
    I carry an umbrella if and only if it is raining.
    However you might carry one even on a sunny day.

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