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Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

TGM Original Questions

Solve the following quadratic inequalities.

  1. \({{\left( x+5 \right)}^{2}}\ge x+7\)
  2. \({{\left( x+3 \right)}^{2}}\ge 2x+9\)
  3. \(\left( x-2 \right)\left( 2x+3 \right)<-3\)

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Answer:(a) \(x\leq-6\) or \(x\geq-3\) (b) \(x\leq-4\) or \(x\geq0\) (c) \(-1<x<\dfrac32\)

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