SOLUTION: Write your answer using a compound inequality. Please solve and explain how to work this problem. {{{(n + 1)/n< 0}}}

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Question 861314: Write your answer using a compound inequality. Please solve and explain how to work this problem.
%28n+%2B+1%29%2Fn%3C+0

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Critical points happen for n=0 and n=-1. Understand that n%3C%3E0. At n=-1, the numerator is zero, but your inequality must be LESS than zero, so n%3C%3E-1.

What you want to do is test the three intervals which the critical points form and find if each interval satisfies or not satisfies the inequality.

Test each interval:
highlight_green%28-oo%3Cn%3C-1%29;
Expression will be positive, so it does not satisfy.
highlight_green%28-1%3Cn%3C0%29;
Positive%2FNegative, which will be negative, so this interval is a solution.
highlight_green%280%3Cn%3Coo%29. Expression is positive, so does not satisfy.

I just do not see how to make a compound inequality for this exercise; but discussing the possible intervals worth checking, here done. (The interval statements may be the compound inequalities which you want).