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Mathematics
OpenStudy (anonymous):

Can somebody explain how my answer key got the graph in the attachment below, for the inequality 2x + y <6 and 2x + y = 6? I don't know how to write the less than sign, with the inequality equals sign below it...

OpenStudy (bahrom7893):

i dont see an attachment

OpenStudy (anonymous):

Could you maybe review me on how to attach stuff on here?

OpenStudy (bahrom7893):

okay so do this: y <(or equal to) 6 -2x y = 6 - 2x

OpenStudy (bahrom7893):

so now you know that the graph must be y = 6-2x, graph that.. and whatever is on the lower left side will be less than or equal to, and the graph must be solid, because it says less than or equal to..

OpenStudy (bahrom7893):

so just shade the lower left side..

OpenStudy (anonymous):

? why the lower left side? why not the right side?

OpenStudy (bahrom7893):

because it is less than or equal to.. if it were more than or equal to then u'd have shaded the right side..

OpenStudy (bahrom7893):

You know how we always take the above y-axis and to the right of x - axis positive.. like (1,1) is in the upper right, but (-1,-1) is in the lower left.. so less always means lower left/ lower sides and positive means upper right/upper sides.

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