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r0m3416
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Fractional Inequality 07 Jul 2007, 21:00
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Folks,
I was solving a problem and got stuck towards the end. Here it is....

How to decide the value of X in the inequality: 90/35 >=1/X

Note: The sign of X is not given i.e. X might be postive or negative.



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Himalayan
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Fractional Inequality 07 Jul 2007, 21:35
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r0m3416
Folks,
I was solving a problem and got stuck towards the end. Here it is....

How to decide the value of X in the inequality: 90/35 >=1/X

Note: The sign of X is not given i.e. X might be postive or negative.
Show more


you are right:

if x is +ve; x >= 35/90


if x is -ve; x <0
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r0m3416
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Fractional Inequality 08 Jul 2007, 00:49
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You are partiall right, I guess:

if x is +ve; x >= 35/90 ; I am with u

if X is negative then I think the inequality sign flips..x <= 35/90

What do you think?
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Himalayan
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Fractional Inequality 08 Jul 2007, 01:37
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r0m3416
You are partiall right, I guess:

if x is +ve; x >= 35/90 ; I am with u

if X is negative then I think the inequality sign flips..x <= 35/90

What do you think?
Show more



this link may help: https://www.gmatclub.com/phpbb/viewtopic.php?t=48416
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r0m3416
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Fractional Inequality 08 Jul 2007, 10:40
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So I think my guess was right. Thanks for the link..
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Himalayan
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Fractional Inequality 08 Jul 2007, 11:33
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what is left? you included all possibilities. suppose if x = 35/91, is the inequality work? no. what if x = 35/3500? still not. what if x = 0? impossible.

so only if x > = 35/90 or < 0 works for the inequality.
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r0m3416
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Fractional Inequality 09 Jul 2007, 20:45
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Multiplicative inverse

The properties for the multiplicative inverse state:

* For any real numbers a and b that are both positive or both negative

- If a > b then 1/a < 1/b
- If a <b> 1/b
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ywilfred
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Fractional Inequality 09 Jul 2007, 22:08
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If x is positive, x >= 7/18
If x is negative, x<=7/18
x = 0 is not valid
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r0m3416
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Fractional Inequality 10 Jul 2007, 16:36
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i FIGURED THAT OUT..ywilfred is right..X 0



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!