# graphing inequality

#### Buddy430

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

#### mmm4444bot

##### Super Moderator
Staff member

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

#### chrisr

##### Full Member
$$\displaystyle x+y>2$$

$$\displaystyle y>2-x$$

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.