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# If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu

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Math Expert
Joined: 02 Sep 2009
Posts: 58452
If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu  [#permalink]

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18 Feb 2019, 04:09
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Difficulty:

25% (medium)

Question Stats:

68% (00:43) correct 32% (00:39) wrong based on 34 sessions

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If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible value of xy ?

A. -105
B. -75
C. 0
D. 75
E. 105

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Re: If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu  [#permalink]

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18 Feb 2019, 05:22
Bunuel wrote:
If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible value of xy ?

A. -105
B. -75
C. 0
D. 75
E. 105

−7 ≤ x ≤ 5 and −15 ≤ y ≤ 0

CONCEPT: For maximum Value the sign of the result must be kept positive (if possible i.e. both x and y must have same sign
and their absolute values must be maximum

i.e. $$x*y_{max} = (-7)*(-15) = 105$$

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Re: If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu  [#permalink]

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18 Feb 2019, 08:11
IMO E

We have been asked to find the greatest possible integer,
Start off by checking if we can get positive integer by multiplying two numbers. And yes we can get a positive value by multiplying two negative values.
So focusing on getting the maximum positive value which we can get by multiplying two most negative no.
Hence 105.
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Re: If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu  [#permalink]

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18 Feb 2019, 08:37
Bunuel wrote:
If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible value of xy ?

A. -105
B. -75
C. 0
D. 75
E. 105

Greatest value among the given values is 105, if i can get a value for xy, i will be good

-7 * -15

E
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Re: If −7 ≤ x ≤ 5 and −15 ≤ y ≤ 0, then what is the greatest possible valu   [#permalink] 18 Feb 2019, 08:37
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