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2x + y < 3

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

91% (00:30) correct 8% (00:39) wrong based on 45 sessions
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VP
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Re: 2x + y < 3 [#permalink] New post 26 Aug 2018, 08:08
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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] New post 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
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Re: 2x + y < 3   [#permalink] 07 Jun 2019, 06:10
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