Inequalities - Inequalities involving Modulus Functions

Inequalities - Inequalities involving Modulus Functions

Solve the inequality \(\left| 5x-7 \right|<\sqrt{2}x+1\) exactly.

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Answer:\(\left\{ x\in \mathbb{R}:\frac{6}{5+\sqrt{2}}< x <\frac{8}{5-\sqrt{2}} \right\}\)

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