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

Question 360299: Solve the inequality (x + 5)/(1 - x) > 0. Give your solution in interval notation, using INF for infinity.
Answer by robertb(5830) (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 . Therefore (, -5) is not part of the solution set.
Choose any number between -5 and 1: pick 0. Now . Therefore (-5, 1) is part of the solution set.
Choose any number greater than 1: pick 2. Now . Therefore (1, ) is not part of the solution set.
The critical values themselves don't satisfy the original inequality. Therefore the solution set is (-5, 1).
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