graphing inequality

[Buddy430]

how do you graph inequality for example:
x+y>2 and 3x-2y<

 

[mmm4444bot]

Click HERE to see a lesson.

Work though the examples, and post a reply, if you have a specific question.

 

[chrisr]

\(\displaystyle x+y>2\)

\(\displaystyle y>2-x\)

Since y is always on the vertical axis,
unless you're like me and "cheat" when graphing inverses,
then the region above the line

\(\displaystyle y=2-x\)

contains all values of \(\displaystyle y>2-x\)

since y=2-x on the line, y<2-x below the line and y>2-x above the line.

\(\displaystyle 3x-2y<k\)

\(\displaystyle 3x<2y+k\)

\(\displaystyle 3x-k<2y\)

\(\displaystyle y>\frac{3}{2}x-\frac{k}{2}\)

Same story, just fill in the blank for k.

The equations you specified are "linear", straight lines.
Hence the inequalities are relatively easy.
I also recommend you do what Mark asked,
otherwise I messed up his post.