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Official Specimen Paper 2 · Q15

Paper 2Logic & proof

For any real numbers aa, bb, and cc where a≥ba\ge b, consider these three statements:

  • 1. −b≥−a-b\ge-a
  • 2. a2+b2≥2aba^2+b^2\ge2ab
  • 3. ac≥bcac\ge bc

Which of the statements 1, 2, and 3 must be true?

Anone
B1 only
C2 only
D3 only
E1 and 2 only
F1 and 3 only
G2 and 3 only
H1, 2 and 3

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