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Beyond Horizon Set 2 Paper 2 · Q2

Paper 2Logic & proof

Consider the statement: x(α−x)<y(α−y)x(\alpha-x)<y(\alpha-y) for all x,yx,y with 0<x<y<10<x<y<1. The statement is true

Aif and only if α≥2\alpha\ge 2
Bif and only if α>2\alpha>2
Cif and only if α≤−1\alpha\le -1
Dif and only if α≥−1\alpha\ge -1
Eif and only if α≤2\alpha\le 2
Ffor no values of α\alpha

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