Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

IP 3

Find the range of values of \(x\) for which

\({{x}^{2}}-6x+8 > 0\),
\({{x}^{2}}-6x \le 0\).

Hence solve the inequality \(-8 < {{x}^{2}}-6x \le 0\).

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Answer:(a) \(x<2\) or \(x>4\) (b) \(0\le x\le6\) Hence: \(0\le x<2\) or \(4<x\le6\)

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