Could someone point out what I'm doing wrong here please:

From there I know that the function =0 when x=2

So I know that the function is less than 0 when x<2

But this is wrong according to the answers.

Help appreciated!

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- Sep 27th 2011, 11:57 AMeliehInequalities problems
Could someone point out what I'm doing wrong here please:

From there I know that the function =0 when x=2

So I know that the function is less than 0 when x<2

But this is wrong according to the answers.

Help appreciated! - Sep 27th 2011, 12:43 PMArchie MeadeRe: Inequalities problems
Looking at your final fraction, it is less than zero for positive divided by negative

or for negative divided by positive,

so you have a few cases to examine.

The numerator is negative for x < 2,

but the denominator is positive for x and x+1 both positive or both negative.

Similarly, the numerator is positive for x > 2

and the denominator is always positive in this case.

Hence we cannot have positive divided by negative for this fraction. - Sep 27th 2011, 01:05 PMeliehRe: Inequalities problems
Completely forgot about the denominator!

Thanks.