Consider the rational inequality x - 1 x + 2 0. Setting the numerator and the

Chapter 8, Problem 5

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Consider the rational inequality x - 1 x + 2 0. Setting the numerator and the denominator of x - 1 x + 2 equal to zero, we obtain x = 1 and x = -2. These values are shown as points on the number line. Also shown is information about three test values. 2 1 0 1 2 3 4 5 2 1 5 4 3 x positive at 3. x 1 x + 2 is negative at 0. x 1 x + 2 is positive at 2. x 1 x + 2 is Based on the information shown above, the solution set of x - 1 x + 2 0 is _______________.

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