SOLUTION: solve the inequality 3-x≤x-4≤2x-9

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Question 1022158: solve the inequality
3-x≤x-4≤2x-9
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Trying to isolate x may be unworkable. Split into two inequalities and solve each.








AND






These two separately say and . You might want to check in the intervals
which these critical x values create to see which do and do not satisfy the ORIGINAL combined
inequality.

? Pick x at 3 to check.



Certainly FALSE, as would be expected.

? Pick 4.

-----TRUE. Actually FALSE.

Last interval, ?
Pick 5.


TRUE ---- This interval works.

The solution for the combined inequality is .
No. Not correct.
Initial solution post had mistake in the work on the middle interval.
The correct solution is .
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
solve the inequality
3-x≤x-4≤2x-9
Solutions:     OR      (ignore as this is NOT a solution) 

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