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graph the inequality 3x+2y<2
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First you want to simplify it.
you got to get into slope intercept form: y = mx + b where m is the slope and b is the y-intercept
um okay
do you know how to begin?
no
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well what do you need to do to get 3x+2y<2 into y = mx + b
2y=3x+2?
|dw:1368831091965:dw|
okay now what?
you have to get y by itself. so divide by 2
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|dw:1368832145461:dw|
First draw the line 3x+2y=2 y=(2-3x)/2 put x=0,y=2/2=1 put x=2,y=-4/2=-2|dw:1368832293875:dw| 3x+2y<2 put x=0,y=0 0+0<2, 0<2 which is true. Hence (0,0) lies on the graph.
solution is left of the line drawn above.
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