hello i was asked to solve the real value of x for which

i got and but the answer in the book is can some one please show me how this answer is arrived at..

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- Jun 6th 2010, 07:51 PMsigma1inequality question
hello i was asked to solve the real value of x for which

i got and but the answer in the book is can some one please show me how this answer is arrived at.. - Jun 6th 2010, 07:59 PMTheEmptySet

So first you need to solve for all the zero points of the numerator and denominator

They are and

This divides the number line into three disjoint parts i.e

and and

Now just check test points in each regions

So if we check we get

So the first set is not a solution. Now just check the other two and you will find that the middle one is the only one that checks. - Jun 7th 2010, 06:23 AMKrizalid
as said above we have now multiply both sides by and the inequality becomes thus which yields and we're done.