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Inequalities Involving Modulus Function

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{2} - 8 x + 7}{4 x^{2} - 4 x + 1} < 0$

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Solution

$\frac{x^{2} - 8 x + 7}{4 x^{2} - 4 x + 1} < 0$
$\frac{(x - 7) (x - 1)}{(2 x - 1)^{2}} < 0$
$x ϵ (1, 7)$

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Inequalities Involving Modulus Function

Standard IX Mathematics

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