SOLUTION: ((1-x)((x+1)/(x+5)) ≤ 0 Using the table of signs what would the interval set be? Thanks!

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Question 947043: ((1-x)((x+1)/(x+5)) ≤ 0
Using the table of signs what would the interval set be?
Thanks!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Negative will mean less than zero, and positive will mean not less than or equal to zero.

Critical values are -5, -1, and 1. These values cut the x number line into intervals. Be aware than the roots are 1 and -1, so these will satisfy the inequality.

Not absolutely sure the format of your sign table.


__________________(-infin, -5]__________[-5, -1]____________[-1, 1]_________[1, infin)
-
-
SIGNS_____________(+)(-)/(-)__________(+)(-)/(-)___________(+)(+)/(+)________(-)(+)/(+)
-
-
RESULT SIGN________(+)________________(+)_________________(+)________________(-)

If I made no logic mistakes here, then the interval which satisfies is 1%3C=x%3Cinfinity. The root value x=-1 also satisfies the inequality.