[quote="Fig"](C) for me too

K^2+K - 2 > 0 ? (Not that 1 and -2 are the 2 roots of K^2+K - 2)

<K> 0 ?

For a*x^2 + b*x + c :

> the sign of the expression a*x^2 + b*x + c is the sign of a outside of roots (if they exist)

> the sign of the expression a*x^2 + b*x + c is the sign of -a between the roots (if they exist)

Here, we need to know whether:

o -2 < K < 1 and so (K+2)*(K-1) < 0

or

o K <2> 1 and so (K+2)*(K-1) > 0

From 1
1 > K

implies that K could be :

o K <2> 0

o K = -2 and so (K+2)*(K-1) = 0

o 1 > K > -2 and so (K+2)*(K-1) <0> -1

implies that K could be :

o -1 < K < 1 and so (K+2)*(K-1) <0> K and so (K+2)*(K-1) > 0

INSUFF.

Both (1) & (2)
-1 < K < 1

<=> -2 < -1 < K < 1.... Bingo, we are between the roots and (K+2)*(K-1) <0> 0.[quote="Fig"]

Each stmnt is in-suff.

Combining both stmnts together, we have -1 < k < 1, which means K can be -0.5, 0 , 0.5

for -0.5, we get -1.5*1.5 which is < 0

for 0, we get -2 < 0

for 0.5, we get - .5 * 2.5 < 0

Hence C.