An algebra problem by Julian Yu

Algebra Level 4

Suppose that x < 0 < y < 1 < z . x<0<y<1<z. Which of the following statements is true?

I. x z − y x \dfrac { xz-y }{ x } is always greater than x + y z x+yz

II. x y + z xy+z is always greater than z − x y x \dfrac { z-xy }{ x }

I only neither I nor II II only both I and II

Julian Yu by Julian Yu , 19, Philippines

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