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What's is the converse of the statement?If x is odd, then 2x is even.
a. if x is not odd, then 2x is not evenB) if x is odd, then 2x is even
c. if 2x is even, then x is oddD) if 2x is not even, then x is not odd

Respuesta :

frika
If you have two statements p and q and [tex]p\Rightarrow q[/tex] is true, then  [tex]\neg q\Rightarrow \neg p[/tex] is also true.

In your case, statements are p - "x is odd" and q -  "2x is even".

 Then [tex]\neg p[/tex] - "x is not odd" and [tex]\neg q[/tex] - "2x is not even."


Hence [tex]\neg q\Rightarrow \neg p[/tex] sounds as: "If 2x is not even, then x is not odd".
Answer: correct choice is D.