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Official 2020 Paper 2 · Q10

Paper 2Logic & proof

The real numbers aa, bb, cc and dd satisfy both

0<a+b<c+d0<a+b<c+d

and

0<a+c<b+d0<a+c<b+d

Which of the following inequalities must be true?

  • I a<da<d
  • II b<cb<c
  • III a+b+c+d>0a+b+c+d>0
Anone of them
BI only
CII only
DIII only
EI and II only
FI and III only
GII and III only
HI, II and III

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