Quadratic Functions, Equations and Inequalities - Quadratic Inequalities
Quadratic Functions, Equations and Inequalities - Quadratic Inequalities
TGM Original Questions
Solve the following inequalities.
- \(3-x\le \left( x-2 \right)\left( 7-x \right)<5\)
- \(25<\left( 4-5x \right)\left( x+7 \right)\le -14x+6\)
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Answer:(a) \(5-2\sqrt2\leq x<\dfrac{9-\sqrt5}{2}\) or \(\dfrac{9+\sqrt5}{2}<x\leq5+2\sqrt2\) (b) \(\dfrac{-31-\sqrt{1021}}{10}<x\leq-\dfrac{22}{5}\)
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