Solve the following system of inequations
x2 + x + 8 less than 0
x2 + 6x + 5 greater than 0

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Solution

$1) x^{2} + x + 8 < 0 H e r e D < 0 S o x = \frac{- 1 \pm \sqrt{1 - 32}}{2} = \frac{- 1 \pm i \sqrt{32}}{2} H e n c e t h e i n t e r v a l i s \frac{- 1 - i \sqrt{32}}{2} < x < \frac{- 1 + i \sqrt{32}}{2} 2) x^{2} + 6 x + 5 > 0 (x + 1) (x + 5) > 0 x < - 5 a n d x > - 1$

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