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# For what range of values of x will the inequality

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Intern
Joined: 03 Jun 2013
Posts: 30
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Kudos [?]: 2 [0], given: 23

Re: For what range of values of x will the inequality [#permalink]

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25 Sep 2014, 23:01
one question. why A is wrong.

If i substitute 0.4 in equation i get 1 as answer.

Any value from 0.4+ when placed in equation will give a value greater than 1 . It might be slightly higher than 1 but will be higher, so why would it be wrong.?
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7380
Location: Pune, India
Followers: 2291

Kudos [?]: 15146 [0], given: 224

Re: For what range of values of x will the inequality [#permalink]

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25 Sep 2014, 23:15
prabhakarsharma wrote:
one question. why A is wrong.

If i substitute 0.4 in equation i get 1 as answer.

Any value from 0.4+ when placed in equation will give a value greater than 1 . It might be slightly higher than 1 but will be higher, so why would it be wrong.?

Option (D) gives the complete range of x but yes, (A) satisfies the inequality and gives the partial range. The question needs to be worded better.
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7380 Location: Pune, India Followers: 2291 Kudos [?]: 15146 [1] , given: 224 Re: For what range of values of x will the inequality [#permalink] ### Show Tags 25 Jul 2016, 06:01 1 This post received KUDOS Expert's post fluke wrote: For what range of values of 'x' will the inequality 15x - (2/x) > 1? A. x > 0.4 B. x < 1/3 C. -1/3 < x < 0.4, x > 15/2 D. -1/3 < x < 0, x > 2/5 E. x < -1/3 and x > 2/5 Responding to a pm: Quote: Could you please advice me when to consider zero when solving such question of ranges that hold the inequality true. Some question you and Bunuel consider zero on the number line to define the range points becuase it is very important to know your approach of - + - + . if I ignore zero as a point so I will get this approach wrong. I hope you got my issue idea. When x is a factor of the inequality, you need to consider 0 as a transition point. The idea is no different from the other transition points. On the right of 0, x is positive and on the left of 0, x is negative. If the inequality is: x * (x + 3) > 0, the transition points are 0 and -3. If the inequality is: (x - 2)(x + 3) > 0, the transition points are 2 and -3. Does this help? _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: For what range of values of x will the inequality   [#permalink] 25 Jul 2016, 06:01

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