SOLUTION: can anyone help me with that........
|x-1|/|x-5| < 3
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Question 878552: can anyone help me with that........
|x-1|/|x-5| < 3
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Both absolute values are positive quantities. Skipping the logic for the absolute values, These four inequality statements can be made:
which gives ;
which gives ;
which gives ;
which gives ;
and obviously from the original inequality, .
You find at x=4 or at x=7 that the inequality is false. This is in agreement with the separate solutions found as indicated.
Checking the interval between 4 and 7, the inequality is found false.
The inequality is found true for any or any .
Finished solution is OR .
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