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Inequalities Involving Modulus Function

Solve the ine...

Question

Solve the inequality $3 x^{2} - 7 x + 4 ⩽ 0.$

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Solution

$3 x^{2} - 7 x + 4 \leq 0$
$3 x^{2} - 3 x - 4 x + 4 \leq 0$
$(3 x - 4) (x - 1) \leq 0$
So, $x ϵ [1, \frac{4}{3}]$

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Inequalities Involving Modulus Function

Standard IX Mathematics

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