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# Is x > 7?

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Manager
Joined: 23 May 2013
Posts: 104

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10 Jan 2014, 23:11
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00:00

Difficulty:

45% (medium)

Question Stats:

69% (01:53) correct 31% (02:09) wrong based on 66 sessions

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Is x > 7?

(1) 2x + 9 < 4y + 1
(2) 8y + 2 = 5x + 7
Math Expert
Joined: 02 Sep 2009
Posts: 52385
Re: Is x > 7?  [#permalink]

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11 Jan 2014, 03:44
1
Is x > 7?

(1) 2x + 9 < 4y + 1. This one is clearly insufficient since we know nothing about y.

(2) 8y + 2 = 5x + 7. The same here. Not sufficient.

(1)+(2) Multiply the inequality by 2: $$4x + 18 < 8y + 2$$. From (2) we have that $$8y = 5x + 5$$. Substitute the value of $$8y$$ into the inequality: $$4x + 18 < (5x + 5) + 2$$ --> $$x>11$$. Sufficient.

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Re: Is x > 7?  [#permalink]

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29 Mar 2017, 05:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x > 7? &nbs [#permalink] 29 Mar 2017, 05:13
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