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 – 2y –8
7x + y < –6

Answer 1

Should the first one have an inequality sign somewhere?

Answer 2

yes

Answer 3

greater or equal to

Answer 4

before the -8

Answer 5

solve both equations for y

Answer 6

y<-7x-6
y<1/2x+4

Answer 7

graph using y=mx+b form. where m is the slope and b is the y intercept

Answer 8

and then what?

Answer 9

In this case, the two lines do not cross and usually they do. Both equations are less than and that means that the graph is shaded below the line. Are you sure that the first equation is not less than or equal to?

Answer 10

If my belief is correct, since one inequality has a positive slope one has a negative slope they will eventually cross somewhere. One of the lines is dotted to represent less than and the other inequality is sold line to represent less than or equal to. You should try graphing these using whatever method you like best for graphing lines.