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# If 9 > g > 0 and –10 < h < –7 , then which of the following expresses

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If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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12 Jan 2017, 07:00
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If 9 > g > 0 and –10 < h < –7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > –90
B. 63 > gh > –90
C. 63 > gh > 0
D. 0 > gh > –90
E. 0 > gh > –63

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Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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12 Jan 2017, 07:54
D product of gh will be negative as h is negative hence gh will be less than 0 so abc are out and taking values like 8.5 and -9.5 we can know it will be grtr than -80 something so e can be ruled out

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Posts: 991
Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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12 Jan 2017, 07:59
Bunuel wrote:
If 9 > g > 0 and –10 < h < –7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > –90
B. 63 > gh > –90
C. 63 > gh > 0
D. 0 > gh > –90
E. 0 > gh > –63

greater value of g= just less than 9 and lesser value h is just greater than -10
thus -90 is lesser value of gh

again number greater than 0 is minimum value for g and number lesser than -7 is greater value of h
thus gh<0

only option D satisfies

Ans D
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Joined: 06 Nov 2014
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Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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12 Jan 2017, 15:32
Bunuel wrote:
If 9 > g > 0 and –10 < h < –7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > –90
B. 63 > gh > –90
C. 63 > gh > 0
D. 0 > gh > –90
E. 0 > gh > –63

0 < g < 9
-10 < h < -7

Minimum value of g*h = 9*-10 = -90 [Multiplication of values with opposite sign]
Maximum value of g*h = 0*-7 = 0 [Since h is always negative and g is always positive, the largest number can be 0]

Hence 0 > g*h > -90

Correct Option: D
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Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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16 Jan 2017, 18:14
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Bunuel wrote:
If 9 > g > 0 and –10 < h < –7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > –90
B. 63 > gh > –90
C. 63 > gh > 0
D. 0 > gh > –90
E. 0 > gh > –63

We are given that 0 < g < 9 and –10 < h < –7 and need to determine the range of the product of gh.

Since h is negative and g is positive, we can first determine that the product gh will be less than zero. Also, since h > -10 and g < 9, we see that gh must be greater than -10 x 9 = -90.

Thus, -90 < gh < 0.

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Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses  [#permalink]

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11 Apr 2017, 11:54
OptimusPrepJanielle wrote:
Bunuel wrote:
If 9 > g > 0 and –10 < h < –7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > –90
B. 63 > gh > –90
C. 63 > gh > 0
D. 0 > gh > –90
E. 0 > gh > –63

0 < g < 9
-10 < h < -7

Minimum value of g*h = 9*-10 = -90 [Multiplication of values with opposite sign]
Maximum value of g*h = 0*-7 = 0 [Since h is always negative and g is always positive, the largest number can be 0]

Hence 0 > g*h > -90

Correct Option: D

Thanks honestly it helped me
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Re: If 9 > g > 0 and –10 < h < –7 , then which of the following expresses &nbs [#permalink] 11 Apr 2017, 11:54
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