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Clavis TMUA Set B Paper 2 · Q15

Paper 2Logic & proof

The real numbers aa and bb satisfy a<ba<b.

Which of the following statements must be true?

  • I a2<b2a^2<b^2
  • II a3<b3a^3<b^3
  • III 1a>1b\displaystyle\frac1a>\frac1b
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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