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x + 2y > 8

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x + 2y > 8 [#permalink]  16 Mar 2018, 12:34
Expert's post
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Question Stats:

94% (00:30) correct 5% (01:11) wrong based on 17 sessions
$$x + 2y > 8$$

 Quantity A Quantity B $$2x + 4y$$ $$20$$

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.
[Reveal] Spoiler: OA

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Kudos [?]: 460 [1] , given: 82

Re: x + 2y > 8 [#permalink]  20 Mar 2018, 23:16
1
KUDOS
Explanation

Given eqn $$x + 2y > 8$$
Multiply both sides by $$2$$ we get,
$$2x + 4y > 16$$
We can derive Qty A is greater than $$16$$ so Qty A could be $$17,18,19,20,21$$ and so on
Qty B is$$20$$
So If qty A is $$20$$ then the ans is c however qty A could be $$17$$ and ans would be B
option D
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Kudos [?]: 1047 [1] , given: 6

Re: x + 2y > 8 [#permalink]  21 Mar 2018, 11:22
1
KUDOS
Expert's post
Carcass wrote:
$$x + 2y > 8$$

 Quantity A Quantity B $$2x + 4y$$ $$20$$

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.

GIVEN: x + 2y > 8
Multiply both sides by 2 to get: 2x + 4y > 16
So, we know that 2x + 4y evaluates to be some number greater than 16

Now take:
Quantity A: 2x + 4y
Quantity B: 20

And replace 2x + 4y to get:
Quantity A: some number greater than 16
Quantity B: 20

As we can see, Quantity A could be LESS THAN 20, GREATER THAN 20, or even EQUAL TO 20.

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Joined: 22 Feb 2018
Posts: 86
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Kudos [?]: 61 [0], given: 8

Re: x + 2y > 8 [#permalink]  21 Mar 2018, 11:40
x+2y > 8 So 2 * (x + 2y) > 16
So 2 * (x + 2y) can be even bigger than 20. A > B
2 * (x + 2y) can be between 16 and 20, A < B
Re: x + 2y > 8   [#permalink] 21 Mar 2018, 11:40
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