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Combining Inequalities

GMAT-O14LAK

The following three inequalities hold:

$K+H>0$
$KH<0$
$1< |\cfrac{K}{H}| < 2$

What inequality must be true of $K+2H$?

A

$2H < K+2H < H$

B

$H < K+2H < 0$

C

$0 < K+2H < H$

D

$H < K+2H < 2H$

E

None of these inequalities must be true.