SOLUTION: Show that the integers not divisible by 3 are not closed under subtraction

SOLUTION: Show that the integers not divisible by 3 are not closed under subtraction

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Question 841549: Show that the integers not divisible by 3 are not closed under subtraction
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let A be the set of integers not divisible by 3. Then

, but

. Therefore A is not closed under subtraction.
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