Bunuel wrote:
Is g+h > 3.6?
(1) 1.612 < g < 1.718
(2) 1.987 < h < 2.803
Kudos for a correct solution.
The statement alone is not enough, we will need information about both g and h to determine sufficiency.
1) only have information on g - not sufficient.
2) only have information on h - not sufficient.
Together: We have information on both so that is good. But we still cannot give a definitive yes or no answer because we still have an answer possible on either side of the argument as shown below.
Taking the obvious low values of g=1.613 and h=1.988 we get: 1.613+1.988=3.601 which would tell us that yes g+h>3.6.
BUT BE CAREFUL, there is an infinite number of values lower than 1.613 and 1.612 as well with 1.988 and 1.987
Taking another example of low values where g=1.6121 and h=1.9871 we get 1.6121+1.9871=3.5992 which would tell us that g+h<3.6 and thus a no to the original question.
Since neither of the answers alone and both together to do not provide sufficient information to answer the question select answer choice E.