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anonymous
 5 years ago
Let S be the set of all nonnegative multiples of 4 (0,4,8,12 and so on). S is closed with respect to which ordinary operation?
anonymous
 5 years ago
Let S be the set of all nonnegative multiples of 4 (0,4,8,12 and so on). S is closed with respect to which ordinary operation?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0addition if you add two multiples of 4 then you will get a multiple of 4 for a sort of proof let A and B be constants , therefore the sum of two multiples of 4 is given by S = 4A + 4B = 4 (A+B ) , which is indeed another multiple of 4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Also , 4A x 4B = 16AB = (4AB) x (4)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it is also closed under multiplication and since addition and subtraction are opposites and multiplication and divisions are opposites then it is closed under all operations
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