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The zeros -1 and 2 are of odd multiplicity and therefore the sign of the expression (x - 2)/(x + 1) will change at both zeros as we go from on interval to another. Hence the signs of the expression (x - 2)/(x + 1) as we go from left to right are -∞ + - 1 - 2 + +∞ The solution set of the inequality is given by the union of all intervals where (x - 2)/(x + 1) is positive or equal to 0. Hence the solution set for the above inequality, in interval notation, is given by: (-∞ , -1) ∪ [ 2 , +∞)
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