Inequalities - Inequalities involving Modulus Functions

Inequalities - Inequalities involving Modulus Functions

Solve the inequality \(\sqrt{2}\left| x+2 \right|-\left| x-3 \right|\ge 0\), giving your answer in exact form.

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Answer:\(x \le \frac{2\sqrt{2}+3}{1-\sqrt{2}}\) or \(x \ge \frac{3-2\sqrt{2}}{1+\sqrt{2}}\)

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