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Replacement and Solution Set

Solve the fol...

Question

Solve the following inequalities.
$\frac{x^{2} - 5 x + 6}{x^{2} - 11 x + 30} < 0$

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Solution

$\frac{x^{2} - 5 x + 6}{x^{2} - 11 x + 30} < 0$
$\frac{(x - 2) (x - 3)}{(x - 6) (x - 5)} < 0$
$x ϵ (2, 3) \cup (5, 6)$

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Replacement and Solution Set

Standard VII Mathematics

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