If $x = 1.5$, then which is true?

If $x = 1.5$, then which is true?
  1. $x^{2} > x$
  2. $x^{2} < x$
  3. $x^{2} = x$
  4. Depends on sign

Solution

$x^{2} = 2.25 > 1.5 = x$ since $x > 1$.

Asked in: IMO

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