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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If y < 0 and 4x > y, which of the following could be equal  Question banks Downloads My Bookmarks Reviews Important topics
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If y < 0 and 4x > y, which of the following could be equal [#permalink]
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Expert's post 00:00

Question Stats: 42% (01:13) correct 57% (01:36) wrong based on 64 sessions
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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[Reveal] Spoiler: OA

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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink]
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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]
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Expert's post
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. $$4$$

Kudos for R.A.E

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

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Brent Hanneson – Creator of greenlighttestprep.com
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Re: If y < 0 and 4x > y, which of the following could be equal [#permalink]
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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. $$4$$

Kudos for R.A.E

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

RELATED VIDEO FROM MY COURSE

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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Kudos [?]: 3402 , given: 12228

Re: If y < 0 and 4x > y, which of the following could be equal [#permalink]
Expert's post
$$4x>y$$
$$\frac{x}{y}>\frac{0}{4}$$

$$\frac{x}{y} > 0$$

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

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Re: If y < 0 and 4x > y, which of the following could be equal   [#permalink] 25 May 2020, 16:35
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