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Solving Quadratic Inequalities

Solving Quadratic Inequalities

IP 3

Solve the following quadratic inequalities.

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

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Answer:(a) \(x\le-4\) or \(x\ge-1\) (b) \(x\le-3\) or \(x\ge1\) (c) \(-2<x<\frac12\)

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