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Concept of Inequality

Solve the fol...

Question

Solve the following inequality:
$| x^{2} - 4 x | < 5$

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Solution

$| x^{2} - 4 x | < 5$
$x^{2} - 4 x > - 5$
$x^{2} - 4 x + 5 > 0$
$b < 0$
$x ϵ R$
$a n d$
$x^{2} - 4 x < 5$
$x^{2} - 4 x - 5 < 0$
$x^{2} - 5 x + x - 5 < 0$
$(x - 5) (x + 1) < 0$
$x ϵ (- 1, 5)$
So, $x ϵ (- 1, 5)$

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