systems of linear inequalities

patti72458

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Joined
May 7, 2006
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26
please help graph

x+2y is less than or equal to 2 and x+y is greater than or equal to 0

confused
 
Eggh do you mean graphing where the two lines meet and the area where the area the inequality includes? If so solve the system, find the coordinate and graph the lines, shading in the area the inequalitly includes.

If you mean graph and solve each seperately then:

Fill in values for x and figure out the y value.

For example if we had \(\displaystyle \L y+2x\ge3\) and we wanted to see what y-coordinate would go with 2:

\(\displaystyle \L y\ge3-2x\)

\(\displaystyle \L y\ge3-2(2)\)

\(\displaystyle \L y\ge-1\)

So one coordinate is \(\displaystyle \L (2,-1)\)

Continuing this process you finally realize a pattern and can make a graph like this:

2rn0.jpg


This sight is will definetly help you: http://regentsprep.org/Regents/math/ginequal/GrIneqa.htm
 
Start by replacing the inequality signs with an equals sign and solve for y.

Graph the lines on your calculator.

Try a test point.


ineqau9.gif
 
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