, with 

 ------ Multiplying by LCD, 







Either: x + 5 < 1, or x + 5 > - 1

x + 5 < 1

x < 1 - 5

x < - 4



x + 5 > - 1

x > - 1 - 5

x > - 6



This means that the CRITICAL POINTS are: - 6, - 5, and - 4

If x < - 6, or x = - 7







 (FALSE)



If - 6 < x < - 5, or x = - 5.5







 

10> 5 (TRUE)



If - 5 < x < - 4, or x = - 4.5









10 > 5 (TRUE)



If x > - 4, or x = 0









1 > 5 (FALSE)

Thus, the solution, in INTERVAL NOTATION is: (- 6, - 5) U (- 5, - 4)

 

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