Solving Rational Inequalities Analytically

Exercise 1.

Find the solutions of the inequality

\begin{displaymath}\frac{x-1}{x+2}\leq 0.\end{displaymath}

Answer.

The critical points are x=1 and x=-2, leading to the following picture:

The set of solutions of the inequality is the interval (-2,1].

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Helmut Knaust
1998-06-16

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