Question 658184
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In the context of numbers, less than means to the left on the number line.  That is to say that if *[tex \LARGE P] is less than *[tex \LARGE Q], then *[tex \LARGE P] is to the left of *[tex \LARGE Q].  But the act of adding a *[tex \LARGE -1] to a number moves the value one unit to the left of its original place on the number line.  That is to say, because of the definition of the operation of subtraction, *[tex \LARGE A\ -\ 1] is always to the left of, and therefore less than, *[tex \LARGE A]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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