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If 3 < x < 8 and 5 < y < II, which of the following represen

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If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink] New post 12 Jun 2018, 04:19
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If \(3 < x < 8\) and \(5 < y < 11\), which of the following represents all the possible values of xy ?

(A) \(3 < xy < 11\)

(B) \(8 < xy < 19\)

(C) \(15 < xy < 88\)

(D) \(24 < xy < 55\)

(E) \(33 < xy < 40\)
[Reveal] Spoiler: OA

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Re: If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink] New post 02 Jul 2018, 21:12
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Carcass wrote:
If \(3 < x < 8\) and \(5 < y < 11\), which of the following represents all the possible values of xy ?

(A) \(3 < xy < 11\)

(B) \(8 < xy < 19\)

(C) \(15 < xy < 88\)

(D) \(24 < xy < 55\)

(E) \(33 < xy < 40\)



Now from the inequality we see that minimum value of x > 3 and minimum value of y >5

Hence the minimum value of xy > 15

Similarly we see that maximum value of x < 8 and minimum value of y < 11

Hence the minimum value of xy < 88

So only option C fulfills the inequality i.e \(15 < xy < 88\)
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Re: If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink] New post 09 Jul 2018, 18:34
Carcass wrote:
If \(3 < x < 8\) and \(5 < y < 11\), which of the following represents all the possible values of xy ?

(A) \(3 < xy < 11\)

(B) \(8 < xy < 19\)

(C) \(15 < xy < 88\)

(D) \(24 < xy < 55\)

(E) \(33 < xy < 40\)

Answer IS C
Re: If 3 < x < 8 and 5 < y < II, which of the following represen   [#permalink] 09 Jul 2018, 18:34
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