Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

IP 3

Find all real values of \(x\) satisfying both inequalities.

  1. \( x^2-x-6\le0 \quad\text{and}\quad x^2-4>0. \)

  2. \( x^2-5x+6\le0 \quad\text{and}\quad x^2-4x+3\ge0. \)

  3. \( x^2-2x-8<0 \quad\text{and}\quad 2x^2-5x+2\ge0. \)

Solution:

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Answer:(a) \(2<x\le3\) (b) \(x=3\) (c) \(-2<x\le\frac12\) or \(2\le x<4\)

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