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Quick Way to Graph Inequalities

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Re: Quick Way to Graph Inequalities [#permalink] New post 26 Jul 2010, 03:58
thanks for sharing!
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Re: Quick Way to Graph Inequalities [#permalink] New post 15 Aug 2010, 22:46
Where can i get more question on inequalities............
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Re: Quick Way to Graph Inequalities [#permalink] New post 02 Nov 2010, 20:53
We see a lot of abs values in GMAT Practice sets.
Can you draw an example of |x-1| > |x|

I have taken a randon value. This could help to generalise
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Re: Quick Way to Graph Inequalities [#permalink] New post 02 Nov 2010, 23:33
sap wrote:
We see a lot of abs values in GMAT Practice sets.
Can you draw an example of |x-1| > |x|

I have taken a randon value. This could help to generalise



First of all note that such an inequality will imply a range of values of x where it is true.

Consider the graphs of |x| & |x-1| :

Image

The shaded region is where |x-1| is greater than |x|

So this inequality represents x<0.5
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Re: Quick Way to Graph Inequalities [#permalink] New post 21 Jan 2011, 03:56
Great post.
My suggestion will be always convert inequalities to the normal view:
y < 2x+ 38393
and then to apply memorized rules applied for that type of expression. Otherwise, there is too much stuff to remember:)
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Re: Quick Way to Graph Inequalities [#permalink] New post 17 May 2011, 06:17
thanks for a very userful way to solve inequalities.
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Re: Quick Way to Graph Inequalities [#permalink] New post 25 Sep 2013, 04:18
Nach0 wrote:
Here's a couple more examples:

5x-7y<-4
Attachment:
3.gif


+5x: No reversing/reversing/"oppositing"
-7y: Positive slope
<: shade to the left of the line
-4: X-intercept is negative (to the left of the origin)


-3x-6y<-9
Attachment:
4.gif


-3x: Everything will be reversed!
-6y: Positive slope, but since there's a -3x, it will be negative
<: Supposed to mean shade to the left, but it's right this time because of the -3x
-9: Like the others, generally means negative x-intercept. It will be positive because of the -3x


haha .. Thats a pretty long approach man ..

1. 5x-7y<-4, use origin as reference and put x=y=0.. it comes 0<-4 which is not true hence shade the portion which does not contain origin .. why bother yourself with so many things :p

2. -3x-6y<-9 , origin as reference, 0<-4 .. not true .. shade the portion which doesnt contain origin ..

results are same as yours ..
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Re: Quick Way to Graph Inequalities   [#permalink] 25 Sep 2013, 04:18
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