Inequalities - Inequalities involving Modulus Functions

Inequalities - Inequalities involving Modulus Functions

Solve the inequality \(\left| \sqrt{2}x-3 \right| < x+1\) exactly.

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Answer:\(\left\{ x\in \mathbb{R}:\frac{2}{\sqrt{2}+1}< x <\frac{4}{\sqrt{2}-1} \right\}\)

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