Prove or disprove each ofthese statements about the floor
Chapter 2, Problem 2.3.70(choose chapter or problem)
Prove or disprove each ofthese statements about the floor and ceiling functions. a) L rxl J = rxl for all real numbers x. b) Lx + y J = LxJ + LY J for all real numbers x and y. c) r rx/21 /21 = rx/41 for all real numbers x. d) L,JrxT J = L..jX J for all positive real numbers x. e) LxJ + LYJ + Lx + yJ .::: L2xJ + L2yJ for all real numbers x and y
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