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04 Oct 2010, 03:36
Kudos
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Hi, I am trying to learn inequality concepts and wanted to understand how to tackle inequaltities involving two variables. For e.g. how should I approach the problem below:
|x+3| + |y+4| <3
I don't have the answers since I have made this question to understand the concepts. Any help please?
Thanks
Kris
|x+3| + |y+4| <3
I don't have the answers since I have made this question to understand the concepts. Any help please?
Thanks
Kris
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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04 Oct 2010, 09:27
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krishan
Ouch ! 2 variables makes this very messy in general. But in your case, you can simplify using a neat trick
Consider the equation |x|+|y|<3
It is easy to see the values that satisfy this.
In quadrant 1, it will be all the points on the triangle formed by the x-axis,y-axis and the line x/3+y/3=1
And in the other quadrants it will be a mirror image of these points
Now the equation you have given just translates this solution to x=-3 and y=-4
So it will be the exact same region just shifted to be centred at (-3,-4) instead of (0,0)
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!
