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If y < 0 and 4x > y, which of the following could be equal

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If y < 0 and 4x > y, which of the following could be equal [#permalink] New post 23 Jul 2018, 09:47
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If \(y < 0\) and \(4x > y\), which of the following could be equal to \(\frac{x}{y}\) ?

A. \(0\)

B. \(\frac{1}{4}\)

C. \(\frac{1}{2}\)

D. \(1\)

E. \(4\)

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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink] New post 24 Jul 2018, 07:04
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Given 4x > y
divide both sides by 4 to get
we get,
x > 0.25 y

divide both sides by y we know that when divided by a -ve number the inequality sign changes hence,

x/y < 0.25

among option choices only A is below 0.25
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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink] New post 18 Apr 2019, 16:46
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Carcass wrote:
If \(y < 0\) and \(4x > y\), which of the following could be equal to \(\frac{x}{y}\) ?

A. \(0\)

B. \(\frac{1}{4}\)

C. \(\frac{1}{2}\)

D. \(1\)

E. \(4\)

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GIVEN: 4x > y
Divide both sides by y to get: 4x/y < 1 [when we divide by a NEGATIVE value (y), we REVERSE the direction of the inequality symbol ]
Divide both sides by 4 to get: x/y < 1/4

So, x/y can be ANY value that's LESS THAN 1/4

Answer: A

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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink] New post 23 May 2020, 02:23
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GreenlightTestPrep wrote:
Carcass wrote:
If \(y < 0\) and \(4x > y\), which of the following could be equal to \(\frac{x}{y}\) ?

A. \(0\)

B. \(\frac{1}{4}\)

C. \(\frac{1}{2}\)

D. \(1\)

E. \(4\)

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GIVEN: 4x > y
Divide both sides by y to get: 4x/y < 1 [when we divide by a NEGATIVE value (y), we REVERSE the direction of the inequality symbol ]
Divide both sides by 4 to get: x/y < 1/4

So, x/y can be ANY value that's LESS THAN 1/4

Answer: A

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Hi Brent,
Can we solve like this?

y<0 means y could be -1
4x>y is only possible if x = 0

so x/y should be zero.
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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink] New post 25 May 2020, 16:35
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\(4x>y
\)
\(\frac{x}{y}>\frac{0}{4}
\)

\(\frac{x}{y} > 0\)

We do know that \(y <0\) Therefore for \(\frac{x}{y}\) being > 0 x must be negative

So, X and Y are both negative. All the answer choices are positive but A

A must be the answer
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Re: If y < 0 and 4x > y, which of the following could be equal   [#permalink] 25 May 2020, 16:35
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