Question 1205412
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3y>9-2x is the same as 2x+3y > 9 when adding 2x to both sides.


We have this system of inequalities
{{{system(2x+3y > 9,2x+3y < -6)}}}
which is equivalent to this system
{{{system(z > 9, z < -6)}}}
where z = 2x+3y


What number is larger than 9 AND smaller than -6 at the same time? 
No such number exists.
<font color=red>There are <u>no</u> solutions</font>. 


In reference to tutor josgarithmetic's graph, 3y>9-2x aka 2x+3y > 9 has you shade above the line 2x+3y = 9 (the red line in their graph).
while 2x+3y < -6 means you shade below the parallel green line 2x+3y = -6
These shaded regions do not overlap, which is a visual indicator of "<font color=red><u>no</u> solutions</font>"
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