Задание

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Реши неравенства:

  1. \(5^{-x^2+3x}\gt1\) ;
  2. \(\Big(\dfrac{12}{9}\Big)^{x^2-3x}\lt\dfrac{81}{144}\) ;
  3. \(\Big(1\dfrac{1}{4}\Big)^{6x^2+x}\lt1\dfrac{9}{16}\) .

Ответ:

  1. \(x\in (\) [ ] \()\) ;
  2. \(x\in (\) [ ] \()\) ;
  3. \(x\in (\) [ ] \()\) .