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# Is g+h > 3.6?

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Re: Is g+h > 3.6? [#permalink]
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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.
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Re: Is g+h > 3.6? [#permalink]
Bunuel wrote:
Is g+h > 3.6?

(1) 1.612 < g < 1.718
(2) 1.987 < h < 2.803

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Solution: E

Statements (1) and (2) each only tell us about one variable, so neither statement is sufficient on its own. Combined, g+h is greater than the sum of the minimum values of the two variables, so g+h > 3.599. g+h could be 3.7, which is greater than 3.6, or 3.5991, which is not; (E).
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Is g+h > 3.6? [#permalink]
Bunuel wrote:
Is g+h > 3.6?

(1) 1.612 < g < 1.718
(2) 1.987 < h < 2.803

Kudos for a correct solution.

Sol- 1) clearly insuff
2) insuff
so from 1 and 2
lets take g= 1.6121 and h= 1.9871
g+h = 3.5992 <3.6

now, lets take g= 1.613 and h =1.988
g+h = 3.601 >3.6

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Re: Is g+h > 3.6? [#permalink]
Bunuel wrote:
Is g+h > 3.6?

(1) 1.612 < g < 1.718
(2) 1.987 < h < 2.803

Kudos for a correct solution.

from 1 and 2, we cannot tell anything

add these 2 inequalities to get

3.599 < g+h < 4.521

Yes and No

E
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Re: Is g+h > 3.6? [#permalink]
1+2 will get 3.599< g+h < 4.521.

Although, we get to know g+h > 3.599, it does not really tell if g+h >3.6 or not. It may or may not be.