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DPiD Maths Mock Set 1 Paper 2 · Q5

Paper 2Logic & proof

Let xx and yy be real numbers. Which of the following is a necessary and sufficient condition for ∣x−y∣=∣x∣+∣y∣|x-y|=|x|+|y|?

Ax≥0x\geq0
Bx+y≥0x+y\geq0
Cx+y+∣x−y∣≥0x+y+|x-y|\geq0
Dxy≥0xy\geq0
Ex2+y2−2xy≥0x^2+y^2-2xy\geq0
Fx−y≥0x-y\geq0
G∣x∣≥∣y∣|x|\geq|y|
Hxy≤0xy\leq0

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