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Can someone please explain this to me: Does |n+m|=|n| + |m| for all integers n and m? If so, give some examples. If not, give a counterexample.

  • Math -

    Simply substitute numbers of opposing signs for n+m.

    For example, n=-1, and m = 2

    |n+m| = |-1+2| = |1| = 1
    |n| + |m| = |-1| + |2| = 1+2=3

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