"If Deb and Sam go to the mall then it is snowing"
Which statement below is logically equivalent?

If Deb and Sam do not go to the mall then it is not snowing

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If Deb and Sam do not go to the mall them it is snowing

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If it is snowing then Deb and Sam go to the mall

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If it is not snowing then Deb and Sam do not go to the mall

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Solution

The correct option is D If it is not snowing then Deb and Sam do not go to the mall
Deb and Sam go to the mall only if it is snowing which means if it is not snowing, they don't go to the mall.
So, $D$ is correct.

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