You can put this solution on YOUR website! [(x+12)(x-2) / (x-1)] >= 0
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Solve the EQUALITY:
The fraction is 0 when the numerator is zero.
Zero when x=-12 or when x=2
Draw a line and plot x=-12 and x=2 on it.
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Also plot the point x-1 since x cannot be 1.
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That line now has four intervals.
Check a test point in each of the four intervals to find the INEQUALITY solution intervals for [(x+12)(x-2) / (x-1)] > 0:
Note: I will just track the signs of the factors.
In (-inf,-12) select x=-13 : (-)(-)/- < 0 so no solution in that interval
In (-12,1) select x=0: (+)(-)/(-) >0; that interval is part of the solution
In (1,2) select x=3/2; (+)(-)/(+)<0; so no solution in that interval
In (2,+inf) select x=3: (+)(+)/(+)>0; that interval is part of the solution
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Final solution:
[-12,1),[2,+inf)
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Cheers,
Stan H.
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