Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

IP 3

Solve each inequality, showing your working clearly. Use a sign table or number line where appropriate.

  1. \(x^4-5x^2+4<0\).

  2. \(x^4-10x^2+9\le0\).

  3. \(2x^4-7x^2+3\ge0\).

Solution:

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Answer:(a) \(-2<x<-1\) or \(1<x<2\) (b) \(-3\le x\le-1\) or \(1\le x\le3\) (c) \(x\le-\sqrt3\), or \(-\frac1{\sqrt2}\le x\le\frac1{\sqrt2}\), or \(x\ge\sqrt3\)

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