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Which of the following is logically equivalent to “I wear a jacket if it is cold outside." ?

If I wear a jacket, then it is cold outside.
If I do not wear a jacket, then it is not cold outside.
I wear a jacket if and only if it is cold outside.
If it is not cold outside, then I do not wear a jacket.

Respuesta :

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The option from the following that is logically equivalent to the statement is that: If it is not cold outside, then I do not wear a jacket.

What is Logical equivalence?

Two statements are regarded to be logically equivalent if, and only if, their resultant forms are logically equivalent during the time at which identical statement variables are utilized to illustrate their component statements.

  • Similarly; two statement forms are noted to be logically equivalent if, and only if, their resultant truth tables show an identical form per variation of statement variables.

Therefore, we can conclude that the correct option that is logically equivalent to the statement being made is that: If it is not cold outside, then I do not wear a jacket.

Learn more about Logical equivalence here:

https://brainly.com/question/19629377

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