Solving Quadratic involving Two Inequalities

Solving Quadratic involving Two Inequalities

Secondary 3

Solve the following quadratic inequalities.

  1. \(1-x\le \left( x-1 \right)\left( 5-x \right)<3\)
  2. \(20<\left( 2-3x \right)\left( x+5 \right)\le -10x+4\)

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Answer:(a) \(1\le x<2\) or \(4<x\le6\) (b) \(-\frac{10}{3}<x\le-2\)

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