If i do not know how to graph a system of inequalities ?

passionflower_40

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Joined
Oct 8, 2005
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If I do not know how to graph a system of inequalities can it be written? I have two problems that I do not understand and How would I write these problems?

First one is

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

Second one is

x - 3y> 3
x + 2y <4

I Really want to understand the written and graph part of it
 
I just want to try answer the First one and i guess if u understand the first one, u would understand the others.

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

Do you know how to draw graph y=x,(straight line) if so..
the first step change it to y=-x (y=-x is inverse from y=x)
-2x means the slope is -2 and +3 means the graph move to 3 units to the left.

Another way (the easy way) is just using Table Value.
first input x=-1----> 2(-1) +y = 3 so, y= 5
x=0----> 2(0) + y = 3 so, y=3
x=1----> 2(1) + y =3 so, y= 1

and draw the graph by using those data.

ps: <(smaller) the area in the left side of the graph
>(bigger) the area in the right side of the graph
 
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