SOLUTION: -2x-5y (less than or equal too) 10. Thanks in advance.

Algebra ->  Graphs -> SOLUTION: -2x-5y (less than or equal too) 10. Thanks in advance.      Log On


   



Question 33534: -2x-5y (less than or equal too) 10. Thanks in advance.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+-2x+-+5y+%3C=+10+
+2x+%2B+5y+%3E=+-10+
+5y+%3E=+-2x+-10+
+y+%3E=+-%282%2F5%29x+-+2+

So, we need to draw the line +y+=+-%282%2F5%29x+-+2+ which goes through (0,-2).

Need to find one more point. Lets pick when x=5...
+y+=+-%282%2F5%29%285%29+-+2+
+y+=+-2+-+2+
y=-4

So we have graph%28300%2C300%2C+-10%2C2%2C-4%2C4%2C-%282%2F5%29x+-+2%29+

Now we need to know the region +y+%3E=+-%282%2F5%29x+-+2+. Hopefully, from common sense, if you are OK with graphs, you can tell if this is the region above or below the line.

If you cannot decide, then pick any point off line, the obvious one being the origin (0,0) which is above the line:
y and +-%282%2F5%29x+-+2+
0 and +-%282%2F5%29%280%29+-+2+
0 and -2
0 is greater than -2

So (0,0) lies in the region where y is greater than +-%282%2F5%29x+-+2+

So, the region +y+%3E=+-%282%2F5%29x+-+2+ is that one ABOVE the line.

jon.