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Inequalities Involving Modulus Function

Solve the fol...

Question

Solve the following inequalities
$x^{2} - 3 x + 5 > 0.$

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Solution

$x^{2} - 3 x + 5 > 0$
$D = (- 3)^{2} - 4.5.1$
$= 9 - 20 = - 11$
As $D < 0$ and coefficient of $x^{2}$ greater than $0$ .
$x^{2} - 3 x + 5 > 0 \forall x ϵ R$
So, $x ϵ R$

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Inequalities Involving Modulus Function

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