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# 2x + y < 3

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2x + y < 3 [#permalink]  25 Aug 2018, 08:57
Expert's post
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Question Stats:

90% (00:26) correct 10% (00:31) wrong based on 20 sessions
$$2x + y < 3$$

$$x > 2$$

 Quantity A Quantity B y 0

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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WE: Engineering (Energy and Utilities)
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Re: 2x + y < 3 [#permalink]  26 Aug 2018, 08:08
Carcass wrote:
$$2x + y < 3$$

$$x > 2$$

 Quantity A Quantity B y 0

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Here x > 2

So to satisfy the equation $$2x + y < 3$$ ; y has to be negative.

Option B
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Re: 2x + y < 3 [#permalink]  07 Jun 2019, 06:10
Expert's post
Carcass wrote:
$$2x + y < 3$$

$$x > 2$$

 Quantity A Quantity B y 0

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Take: 2x + y < 3

Subtract 2x from both sides to get: y < 3 - 2x

GIVEN: x > 2
If x is greater than 2, we know that 2x is greater than 4

So, we know that: y < 3 - (some number that's greater than 4)

We can see that 3 - (some number that's greater than 4) = some negative number.

We get: y < some negative number, which means y is NEGATIVE

Since a NEGATIVE number is less than 0, the correct answer is B

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: 2x + y < 3   [#permalink] 07 Jun 2019, 06:10
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