Andrew M. answered • 02/12/18

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Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Even integers will be of the form 2x

odd integers will be of the form 2y+1

Difference: 2y + 1 - 2x

= 2y - 2x + 1

= 2(y-x) + 1

By definition 2(y-x) will be even and thus 2(y-x) + 1 will be odd

Andrew M.

02/12/18