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Clavis TMUA Set A Paper 2 · Q3

Paper 2Logic & proof

Consider the following claim:

For all real numbers aa and bb, if a2>b2a^2>b^2 then a>ba>b.

Which of the following is/are a counterexample to the claim?

  • I a=3a=3, b=−4b=-4
  • II a=−3a=-3, b=2b=2
  • III a=−5a=-5, b=−2b=-2
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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