SOLUTION: Solve the inequality (x + 5)/(1 - x) > 0. Give your solution in interval notation, using INF for infinity.

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Question 360299: Solve the inequality (x + 5)/(1 - x) > 0. Give your solution in interval notation, using INF for infinity.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The critical values of the inequality are 1 and -5.
Choose any number less than -5: pick -6. Now %28-6%2B5%29%2F%281--6%29+=+-1%2F7%3C0. Therefore (-infinity, -5) is not part of the solution set.
Choose any number between -5 and 1: pick 0. Now %280%2B5%29%2F%281-0%29+=+5%2F1=+5%3E0. Therefore (-5, 1) is part of the solution set.
Choose any number greater than 1: pick 2. Now %282%2B5%29%2F%281-2%29+=+7%2F-1%3C0. Therefore (1, infinity) is not part of the solution set.
The critical values themselves don't satisfy the original inequality. Therefore the solution set is (-5, 1).