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We are solving the inequality: 
Set numerator and denominator equal to zero: · x – 1=0 ⇒ x= 1 · x+2=0 ⇒ x=−2 These divide the number line into intervals: · (−∞,−2) · (−2,1) · (1,∞) Test sign of expression in each interval Interval 1: (−∞,−2) Pick x=−3: 
Handle boundary points · x =−2 : Denominator becomes 0 → undefined → exclude · x = 1: Numerator becomes 0 → expression = 0 → not less than 0 → exclude The final answer is x ∈ (−2,1)
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