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Inequalities - Source from Manhattan GMAT

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Inequalities - Source from Manhattan GMAT

by shanice » Mon Jun 18, 2012 11:00 pm
If x>8, x<17 and x+5<19, what is the range of possible values for x?

workings:-

x+5<19
x<14 so 8<x
x<17
x<14

Answer : 8<x<14

I don't understand why the answer is not 8<x<17.

The book's explanation is that x<14 is more limiting than x<17(In other words, whenever x<14, x will always be less than 17, but not vice versa).

Can someone please explain to me with examples? I don't understand the explanation.

Thank you.
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by Anurag@Gurome » Mon Jun 18, 2012 11:04 pm
To satisfy (x + 5) < 19, x must be less than 14. You cannot satisfy this condition if you say range of possible values of x is x < 17.

For example, say x = 15 which is less than 17
But, (x + 5) = (15 + 5) = 20 is greater than 19

Hope that helps.
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by shanice » Wed Jun 20, 2012 8:15 am
Thank you very much, Sir. I understand it clearly now.

I can't thank you enough for your prompt reply for almost every questions that I posted.

Thank you again, Sir.
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