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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

129.Solution ...

Question

129.Solution set of the inequality x+8/x+2>1

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Solution

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(x - 2)^{x^{2} - 6 x + 8} > 1

x > 2

(x - 2)^{x^{2} - 6 x + 8} > 1

x > 2

{(x - 2)}^{x^{2} - 6 x + 8} > 1

x^{2} + 3 x - 10 > 8

| x + 2 | - | x - 1 | < x - \frac{3}{2}

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