Mastering Logical Equivalencies In Math: Examples And Explanations

Logically equivalent statements

Only if they have the same truth values in every possible situation

1. If it is raining, then the sidewalks are wet. is equivalent to If the sidewalks are not wet, then it is not raining.
2. All cats have four legs is equivalent to No cats have less than four legs.
3. John is taller than Jane is equivalent to Jane is shorter than John.
4. I will go to the store if I have time is equivalent to I will not go to the store unless I have time.
5. It is necessary that I study for the exam is equivalent to I must study for the exam.

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Mastering Logical Equivalencies In Math: Examples And Explanations

Logically equivalent statements

Only if they have the same truth values in every possible situation

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