Let G=Addictive Group of Integers. Write Out D Elements of the Subgroup H=2m:m Is an Integer. Also Write H+5?

Question by paul: Let G=addictive group of integers. write out d elements of the subgroup H=2m:m is an integer. also write H+5?

Best answer:

Answer by Vinnie
H seems to be all even numbers

H + 5 is all odd numbers greater or equal to 7

Answer by Don Quixote de la Mancha
H is the subgroup of all even integers, i.e. H={ 0, -2,+2,-4,+4,…}. H+5 is the set of all odd integers, i.e. H+5= { -1,+1,-3,+3,…}.

@Vinnie: The elements of H+5 are not necessarily greater or equal to 7, for instance 1 = -4 + 5 is included in H+5.

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