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Beyond Horizon Set 1 Paper 2 · Q19

Paper 2Logic & proof

Let x,y,zx,y,z be real numbers. Then only one of the following statements is true. Which one is it?

AIf x<yx<y, then xz<yzxz<yz for all values of zz.
BIf x<yx<y, then xz≤yz\frac{x}{z}\le\frac{y}{z} for all values of zz.
CIf x<yx<y, then (x+z)<(y+z)(x+z)<(y+z) for all values of zz.
DIf 0<x<y0<x<y, then xz<yzxz<yz for all values of zz.

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