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JEE Advance - Mathematics (1982 - No. 20)
The largest interval for which $${x^{12}} - {x^9} + {x^4} - x + 1 > 0$$ is
$$ - 4 < x \le 0$$
$$\,0 < x < 1$$
$$ - 100 < x < 100$$
$$ - \infty < x < \infty $$
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