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# Is x > 7?

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Manager
Joined: 23 May 2013
Posts: 121

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10 Jan 2014, 23:11
1
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Difficulty:

45% (medium)

Question Stats:

67% (01:28) correct 33% (01:45) wrong based on 65 sessions

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Is x > 7?

(1) 2x + 9 < 4y + 1
(2) 8y + 2 = 5x + 7
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 43796
Re: Is x > 7? [#permalink]

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11 Jan 2014, 03:44
1
KUDOS
Expert's post
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
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Re: Is x > 7?   [#permalink] 29 Mar 2017, 05:13
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