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Mathematics 14 Online
OpenStudy (anonymous):

graph the inequality 3x+2y<2

OpenStudy (compassionate):

First you want to simplify it.

OpenStudy (anonymous):

you got to get into slope intercept form: y = mx + b where m is the slope and b is the y-intercept

OpenStudy (anonymous):

um okay

OpenStudy (anonymous):

do you know how to begin?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

well what do you need to do to get 3x+2y<2 into y = mx + b

OpenStudy (anonymous):

2y=3x+2?

OpenStudy (anonymous):

|dw:1368831091965:dw|

OpenStudy (anonymous):

okay now what?

OpenStudy (anonymous):

you have to get y by itself. so divide by 2

OpenStudy (anonymous):

|dw:1368832145461:dw|

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

solution is left of the line drawn above.

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