SOLUTION: could you please help me solve this equation x-1 >(or equal) 6/x I tried and received [-2,0) U [3,infinity) but I am not certain if that is correct

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Question 1093771: could you please help me solve this equation
x-1 >(or equal) 6/x
I tried and received [-2,0) U [3,infinity) but I am not certain if that is correct

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x-1 >(or equal) 6/x

x-1>=6/x






which looks like an inequality already solved on this site, recently;

--------critical x values are -2, 0, 3.

INTERVALS TO CHECK
            (-infin, -2]         [-2, 0)           (0,3]           [3, infin)

sign        (-)(-)/(-)=-        (-)(+)/(-)=+      (-)(+)/(+)=-     (+)(+)/(+)=+
value      FALSE                TRUE              FALSE            TRUE

The solution set will be all the intervals which make the inequality true.
This is [-2,0) AND [3,infinity).
(The intervals should really be checked using the original inequality).

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
could you please help me solve this equation
x-1 >(or equal) 6/x
I tried and received [-2,0) U [3,infinity) but I am not certain if that is correct
Yes, you're perfectly correct. Good job!
ABSOLUTELY NOTHING else needs to be said or done!
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