Solving Quadratic Inequalities by Substitution

Solving Quadratic Inequalities by Substitution

IP 3

Solve the following quadratic inequalities.

  1. \(25{{\left( 2-x \right)}^{2}}\le {{x}^{2}}\)
  2. \(4{{\left( 3-5x \right)}^{2}}\ge 36{{x}^{2}}\)

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Answer:(a) \(\frac53\le x\le\frac52\) (b) \(x\le\frac38\) or \(x\ge\frac32\)

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