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Question
the following is a quote by famed physicist albert einstein: if you cant explain it simply, you dont understand it well enough. this statement can be rewritten as the conditional: if you can explain it simply, then you understand it well enough. complete the table to determine the converse, the inverse, and the contrapositive of the conditional.
Let the conditional statement be \(p
ightarrow q\) where \(p\) is "you can explain it simply" and \(q\) is "you don't understand it well - enough".
Step1: Define converse
The converse of \(p
ightarrow q\) is \(q
ightarrow p\).
So the converse is "If you don't understand it well - enough, then you can explain it simply".
Step2: Define inverse
The inverse of \(p
ightarrow q\) is \(
eg p
ightarrow
eg q\).
So the inverse is "If you can't explain it simply, then you understand it well - enough".
Step3: Define contra - positive
The contra - positive of \(p
ightarrow q\) is \(
eg q
ightarrow
eg p\).
So the contra - positive is "If you understand it well - enough, then you can't explain it simply".
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| Statement | Converse, inverse, or Contrapositive |
|---|---|
| If you can't explain it simply, then you understand it well - enough | Inverse |
| If you understand it well - enough, then you can't explain it simply | Contrapositive |