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Given that -4 < x < 7 and -6 < y < 3, we see that x and y can be negative, positive or even 0. To find out all the possible values of xy, we must consider the smallest negative number for the lower range and the greatest positive number for the upper range.BTGmoderatorDC wrote:If -4 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy ?
A) -42 < xy < 21
B) -42 < xy < 24
C) -28 < xy < 18
D) -24 < xy < 21
E) -24 < xy < 24
OA B
Source: GMAT Prep
To determine the largest possible value of xy, we either multiply together the two smallest negative values or the two largest positive values. Since (-4)(-6) = 24 and (7)(3) = 21, and 24 > 21, we see that the largest possible product of x and y is less than 24.BTGmoderatorDC wrote:If -4 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy ?
A) -42 < xy < 21
B) -42 < xy < 24
C) -28 < xy < 18
D) -24 < xy < 21
E) -24 < xy < 24
OA B
Source: GMAT Prep
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