SOLUTION: 5(2x + y) - 4(2x + y) _>_ 4 Help with this problem and graph. PLEASE

Algebra ->  Trigonometry-basics -> SOLUTION: 5(2x + y) - 4(2x + y) _>_ 4 Help with this problem and graph. PLEASE      Log On


   



Question 101115: 5(2x + y) - 4(2x + y) _>_ 4
Help with this problem and graph. PLEASE

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5(2x + y) - 4(2x + y) _>_ 4
10x+5y-8x-4y >=4
2x+y >= 4
y >= -2x+4
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Graph the boundary line: y = -2x+4
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29
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To find the solution for the inequality
pick a test point that is not on the
boundary, like (0,0).
Test the x, y values in the inequality:
0 > -2*0 + 4
0 > 0+4
False
Therefore the solution half-plane is the one
on the other side of the boundary line: darken
that side. The solution is the boundary and
the darkened half-plane.
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graph%28400%2C300%2C-10%2C10%2C-10%2C15%2C-2x%2B4%2C-2x%2B5%2C-2x%2B6%2C-2x%2B7%29
====================
Cheers,
Stan H.