SOLUTION: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) 1/

Question 707029: Solve the inequality, and express the solution in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.)
1/(x − 2) ≥ 5/(x + 1)

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Look for the critical points for the representative equation. Once they are identified, test the intervals around the critical points to determine which intervals satisfy the inequality.
Note that you may need to also consider around the points where the inequality is undefined. You can not let x be +2 or -1, since they would cause a denominator of 0.

To be safe, consider the critical points of -1, +2, +2.5.

cross multiply is fair,

, a critical point.

Test the inequality for numbers in these intervals:
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