Explain, in complete sentences, how you would use the graphing method to solve the following system of inequalities and what the final solution will look like on the coordinate plane.

x + y –6
2x – 3y

Question

Explain, in complete sentences, how you would use the graphing method to solve the following system of inequalities and what the final solution will look like on the coordinate plane.

x + y  –6
2x – 3y < 0

aroub · Answer

What's the sign for the first equation?

grant330sims · Answer

my bad. its a greater than or equal to.

grant330sims · Answer

is it really that hard.... And when i say that i dont mean to be rude.. just kinda shocked

aroub · Answer

To graph a linear inequality in two variables the first thing you got to do is convert each inequality to it's associated equation ( for every inequality has an associated equation ) 
lets do one by one: 

x+y>=-6 

=> x+y=-6 

|dw:1335284010449:dw| 

=> (0,-6) and (-6,0) 

Since the inequality is not strict, the line is drawn solid. 

|dw:1335283657318:dw| 

(0,0) is in the half-plane above the line. Substitute its coordinates in the inequality:

0+0>=-6  is true.

Since the coordinates of (0,0) does satisfy the linear inequality, you shade the other half-plane that does not contain the points (0,0)