Statement

Logic Level 2

The contrapositive of the converse of the statement "If $x$ is a prime number then $x$ is odd" is " $\text{\_\_\_\_\_\_\_\_\_\_\_}$ ".

x

is a prime number then it is not odd If

x

is not a prime number then

x

is odd If

x

is not a prime number then

x

is not an odd If

x

is not an odd number then

x

is not a prime number

1 solution

Arha Singh
Jul 25, 2016

(normal statement)If it is raining, the grass is wet. (contrapositive statement)If the grass is not wet, it is not raining. (normal statement)If $x$ is a prime number then $x$ is odd (contrapositive statement)If $x$ is not odd, then $x$ is not a prime number.

Note that the problem asks for the "contrapositive of the converse".

What you found is the contrapositive of the statement.

Calvin Lin Staff - 4 years, 4 months ago

Statement

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