Can someone explain why the equivalent statement to

"To be a math superstar, it is necessary for you to love pi."

is

"If you love pi, then you are a math superstar."

I got this mixed up on my homework :(

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- March 5th 2011, 02:43 PMdivinelogosEquivalent Conditional Statement
Can someone explain why the equivalent statement to

"To be a math superstar, it is necessary for you to love pi."

is

"If you love pi, then you are a math superstar."

I got this mixed up on my homework :( - March 5th 2011, 02:55 PMPlato
- March 5th 2011, 03:30 PMdivinelogos
That's what I thought. So, are the two statements I posted equivalent, in the sense that they have the same truth tables?

The question on our test required us to write the contrapositive, inverse, and converse of the statement "To be a math superstar, it is necessary for you to love pi." The teacher is saying the equivalent statement to this is "If you love pi, then you are a math superstar."

This can't be right? - March 5th 2011, 04:19 PMPlato
- March 5th 2011, 04:36 PMdivinelogos