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SMO 2021 Junior Round 1 Question 1

SMO · SMO 2021 Junior Round 1

Question 1

Let $a$ and $b$ be real numbers satisfying $a\lt 0\lt b$. Which of the following is not true?
  1. $a^2b>0$
  2. $ab^2\lt 0$
  3. $\frac ab>0$
  4. $b-a>0$
  5. $|a-b|>0$