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SMO 2007 Junior Round 1 Question 1

SMO · SMO 2007 Junior Round 1

Question 1

Among the four statements on integers below,
- “If $a\lt b$ then $a^2\lt b^2$”;
- “$a^2\gt 0$ is always true”;
- “$-a\lt 0$ is always true”;
- “If $ac^2\lt bc^2$ then $a\lt b$”,
how many of them are correct?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$