Problem

If a and b are real numbers, we define max {a, b} to be the maximum of a and b or the comm...

If a and b are real numbers, we define max {a, b} to be the maximum of a and b or the common value if they are equal. Prove that for all real numbers d, d1, d2, x,

if d = max{d1, d2} and  x ≥ d, then xd1 and  xd2.

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