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Inequalities Involving Modulus Function

Solve the ine...

Question

Solve the inequality $x^{2} + a x + a > 0.$ .

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Solution

$x^{2} + a x + a > 0 \forall x ϵ R$
$D < 0$
$a^{2} - 4 a < 0$
$a (a - 4) < 0$
$a ϵ (0, 4)$

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Inequalities Involving Modulus Function

Standard IX Mathematics

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