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Greatest Integer Function

Solve the fol...

Question

Solve the following inequality:
$log (x^{2} - 5 x + 7) < 0$

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Solution

$log (x^{2} - 5 x + 7) < 0 x^{2} - 5 x + 7 > 0 x \in R$
and $x^{2} - 5 x + 7 < 1 x^{2} - 5 x + 6 < 0 (x - 3) (x - 2) < 0 x \in (2, 3)$
Taking intersection, we get
$x \in (2, 3)$

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