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What is a contrapositive, and what is the contrapositive of this statement? "If your eyes are green, then it's not common"?

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Answer: It is common that your eyes are not green

Explanation:

Given an "if p, then q" statement (notation: p → q)

the contrapositive is " if not q, then not p" (notation: ~q → ~p)

In the given statement,

  • p = your eyes are green
  • q = it is not common

So,

  • ~p = your eyes are not green
  • ~q = it is common

Therefore, the contrapositive should be:

If it is common , then your eyes are not green.

But grammatically it sounds better to say,

"It is common that your eyes are not green"

User Lasitha Benaragama
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