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Question
Submitted by cheici on Mon, 2013-02-04 14:56
due on Fri, 2013-02-08 14:52
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How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

Due 02/05/2013   Please respond with at least 150 words. Thanks

Answer
Submitted by smith_comp on Tue, 2013-02-05 17:56
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solution of the problem

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There xx xxxx one xxxxxxxx set xxxxxxxxx on xxx xxxxxxxxxxxxx the set xxx xx xxxxxx xxxx a xxxxxx number xx solutions, or no solution. In xxx cases, xxx systems of linear inequilities xxxx  only xxx xxxxxxxx set.

xxx example:-
Here's a xxxxxx with xx solutions: x < x xxx x > xx
Here's a system xxxx one xxxxxxxxx x <=3 and x >xxx
xxx xxxxxx x xxxxxx xxxx xxxxxx number of solutions: x < xxxx x < 0

xxxxxxxxxxxxx xx xxxxxxx of linear xxxxxxxxxxxx need xx xxxxxxx xxxx xxxxxxxxxxxxx

example:-

x <4 xxx x<xx xxx xxxx xxx finite xxxxxxxx
xxxxx>4 xxx xxxxx<9 has xxxx xx finite number xx solution

 xxxxxxxxx to xxxxxxx xx xxxxxx xxxxxxxxxxxx xxx xxx xxxxxxx both xxxxxxxxxxxx only when xx xxx no xxxxxxxxx

example xx

x>x and x<x for xxxxxxxxxx

 

x xxxxxx of xxxxxx xxxxxxxxxxxx xx x set of xxxxxx xxxxxxxxxxxx that we xxxx xxxx all at xxxx in the same xxxxxx xxxxxxx x system of linear xxxxxxxxxxxx is just xxx or more xxxx xxx inequalities together.
xxxxxxxxx x system xx xxxxxx xxxxxxxxxxxx xxxxxxx as:

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Answer
Submitted by Grafa on Mon, 2013-02-04 17:36
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inequalities

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xxx xxxxxxxx xxxx xxxx xxxxxx and explanations.

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One linear inequality can xxxx several solutions.

It xxx give xxx solutionx

xxxxx>0

xxx>0

X = xxxxxxxxxxxxx

This means xxx x to be larger than 0, x should be xxxxxx xxxx zero

It xxx give xxx xxxxxxxxxx

Y=x2 – x >x

Y=(x-3)(x+3)>x

X = (-infinity; -3) xxx xxx x xxxxxxxxx

This xxxxx xxx Y to xx larger than 0, x xxxxxx be between x–xxxxxxxx xx -3) xx between xxxx infinity)

Notice xxxx xxx xx xxxxxx xx xxxxxxxxx could xx 3, for xx could xx x xxxx

xxxx it xx xxxxxxxx to have xxxxxxxx

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