SOLUTION: Is this statement true or not? The set of even integers is closed under subtraction? Why or why not? Please help me im having hard time :(

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: Is this statement true or not? The set of even integers is closed under subtraction? Why or why not? Please help me im having hard time :(      Log On

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 Question 627835: Is this statement true or not? The set of even integers is closed under subtraction? Why or why not? Please help me im having hard time :(Answer by reviewermath(500)   (Show Source): You can put this solution on YOUR website!true: Let the x and y be even integers, then x = 2m for some integer m and y = 2n for some integer n Their difference is x - y = 2m - 2n = 2(m - n) Since x - y is a multiple of 2 then we can say that the set of even integers is closed under subtraction.