Graph!! But I’m bad at fractions but I realize that they aren’t really fractions

Question

x/2+y/3<1

Answer 1

x/3 + y/2 < 1

To clear the fractions multiply through by 6

 

2x + 3y < 6

 

To graph this plot the line 2x + 3y = 6 as a dashed line:

x        y

----------

0       2

3       0

 

With these two points draw the line.  Then pick a point above or below

the line and see if it is included in the answer.  If so then that is the

side of the line you shade in as included.

The origin comes to mind as a quick and easy reference point.

(0, 0) will be below the line and 0 < 6 so the area below the line is

included.  Shade below the line 2x + 3y = 6