graphing

May 2010
22
0
How do I graph these inequalities? the shading part is hard.

5x + 10y <600
3x + 4y <250
x>=0
y>0

thanks
 

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MHF Hall of Honor
Mar 2010
2,340
821
Chicago
How do I graph these inequalities? the shading part is hard.

5x + 10y <600
3x + 4y <250
x>=0
y>0

thanks
Are these four different graphs, or one graph with four different restrictions?

5x + 10y = 600 is a line. So 5x + 10y < 600 will be a graph where everything on one side of the line is shaded. You can just plug in any values to see which side is shaded (for example, plug in (x,y) = (0,0) to see that the origin is contained in the shaded region, because 0 < 600 is true).

x = 0 is also a line, it's a vertical line, it's also the y-axis. For x >= 0 you will shade to the right of it.

Etc.