What is the inverse of the following statement?

"If it is not Wednesday, then it is sunny."

If it is Wednesday, then it is not sunny.
If it is sunny, then it is not Wednesday.
If it is not Wednesday, then it is not sunny.
If it is not sunny, then it is Wednesday.

Respuesta :

The inverse of the statement is 'If it is Wednesday, then it is not sunny'

What is the inverse of a word?

The inverse of a word is simply the contrary nature or quality and could be termed opposite or  reverse of a proposition or theorem that is formed by'

  • contradicting both the subject and predicate
  • Contradicting both the hypothesis and conclusion of a given proposition or theorem

For instance, the inverse of "if A then B" is "if not-A then not-B"  and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive

From the information given, we have;

'If it is not Wednesday, then it is sunny'

We can see that the inverse of the proposition is;

'If it is Wednesday, then it is not sunny'

Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'

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