Inequalities - Inequalities involving Modulus Functions

Inequalities - Inequalities involving Modulus Functions

Find the solution set of \(\left| 4x-4{{x}^{2}}+1 \right|\ge 2\)

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Answer:\(\left\{x \in \mathbb{R} : x = \dfrac{1}{2}, x \le -\dfrac{1}{2} \text{ or}\hspace{0.5em} x \ge \dfrac{3}{2}\right\}\)

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