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Inequalities Involving Modulus Function

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Question

Solve the inequality $3 x^{2} - 7 x + 6 < 0.$

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Solution

$3 x^{2} - 7 x + 6 < 0$
$D = (- 7)^{2} - 4.3.6$
$= 49 - 72$
$= - 23$
As $D < 0$ and coefficient $x^{2}$ greater than $0$
$3 x^{2} - 7 x + 6 > 0 \forall x ϵ R$
$x ϵ ϕ$

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Inequalities Involving Modulus Function

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