Prove or disprove each ofthese statements about the floor
Chapter 2, Problem 2.3.69(choose chapter or problem)
Prove or disprove each ofthese statements about the floor and ceiling functions. a) r Lx J 1 = Lx J for all real numbers x. b) L2xJ = 2 LxJ whenever x is a real number. c) fxl + fyl - fx + yl = 0 or 1 henever x and y are real numbers.d) rxyl = rxl ryl for all real numbers x and y. e) I l = l x ; 1 J for all real numbers x.
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