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# Is x > 7?

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Manager
Joined: 23 May 2013
Posts: 112
Is x > 7? [#permalink]

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11 Jan 2014, 00:11
1
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:28) correct 34% (01:47) 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: 46194
Re: Is x > 7? [#permalink]

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11 Jan 2014, 04:44
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, 06:13
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Re: Is x > 7?   [#permalink] 29 Mar 2017, 06:13
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# Is x > 7?

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