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uysha [10]
3 years ago
8

Someone help??????????????

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0
I: x-2y>=8
II:2x+y<=3

start by isolating y on a side

with I:
x-2y>=8
-2y>=8-x
2y<=x-8
y<=x/2-4

with II:
2x+y<=3
y<=-2x+3

now you can draw I' and II' and read of the solutions with the graph.
transform the inequalities into lines in slope intercept form by replacing the inequality with equality:
y<=x/2-4
->
y=x/2-4

y<=-2x+3
->
y=-2x+3

look at the inequalities to figure out if the area above or below is valid for each line (y<=... -> area below is valid->colored in the attached image)
the area in which all areas overlap is the solution space.

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