Inequalities - Inequalities involving Substitution

Inequalities - Inequalities involving Substitution

Solve the inequality \(\frac{1}{x-2}\ge \frac{2}{3x+1}\). Hence, find the range of values of \(x\) that satisfy the inequality \(\frac{1}{\left| x \right|-2}\ge \frac{2}{3\left| x \right|+1}\).

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Answer:-5 ≤ x < -1/3 or x > 2; x > 2 or x < -2

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