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November 01, 2025, 03:27:37 pm
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Author Topic: Sketching Inequalities  (Read 1260 times)  Share 

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aznboy50

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Sketching Inequalities
« on: December 17, 2010, 04:57:43 pm »
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I know how to answer this question buy sketching. How would I find the answer algebraically?

The question is on page 40, question e) of Essentials Specialist

I can't upload the question due to the revolution...
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dcc

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Re: Sketching Inequalities
« Reply #1 on: December 17, 2010, 10:18:04 pm »
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Perhaps you could post the question for those of us who are not fortunate enough to own Essentials?
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kamil9876

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Re: Sketching Inequalities
« Reply #2 on: December 17, 2010, 10:33:49 pm »
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Quote
I can't upload the question due to the revolution...

The revolution still allows typing and
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

aznboy50

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Re: Sketching Inequalities
« Reply #3 on: December 18, 2010, 12:17:08 pm »
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x2-y21 and x2+y24

How would I solve this without the aid of graphs?
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bblovee

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Re: Sketching Inequalities
« Reply #4 on: December 18, 2010, 08:11:12 pm »
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looks like there is four intersections

you could always transpose the equations and solve for each quadrant
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2009: Methods | Chinese SLA
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kamil9876

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Re: Sketching Inequalities
« Reply #5 on: December 18, 2010, 09:19:59 pm »
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By "solve" you mean you want to find the (x,y) that satisfy both of those inequalities. Too lazy to do the working, but I am guessing that you can't really find a  better or simpler description of the set of all such (x,y) "algebraically". E.g: you can "solve" the equation 2x-4=0 to get the better description that x=2. But you can't really "solve" the equation x=2, since there is no better description for such possible values of x. However graphically you can find a description of the set in your case so I'm guessing the point of this exercise was to sketch?
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."
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