Subjects logic

Even Divisibility

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Even Divisibility


1. The problem states: If a number is even, then it is divisible by 2. The number is not divisible by 2. Therefore, the number is not even. 2. This is a classic example of a contrapositive statement in logic. The original statement is: "If a number is even, then it is divisible by 2." 3. The contrapositive of this statement is: "If a number is not divisible by 2, then it is not even." 4. In logic, a statement and its contrapositive are logically equivalent, meaning if one is true, the other must also be true. 5. Since the number is not divisible by 2, by the contrapositive, the number is not even. 6. Therefore, the conclusion "The number is not even" logically follows from the premises. Final answer: The number is not even.