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Unformatted text preview: y and z . (b) There is no smallest positive real number. (c) Every real number has a unique cubed root. 4: For each of the following statements, determine whether it is true when the universe of dis-course is Z and whether it is true when the universe of discourse is R . (a) x y ( x = y y y y + x = 0) (b) x y ( y < x z ( z < x z y ) ) (c) x y ( (0 < x x + y < x y ) < y ) 5: Prove each of the following statements, where the universe of discourse is R . (a) x ( | x 2-4 x | x ( x = 0 (3 x x 5) )) (b) x y ( y 2 = x 3 + x 2 z ( x = z 2-1 y = z 3-z ) )...
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- Fall '08