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Which graph represents the system of inequalities?

AngelRay  Dec 19, 2017
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 #1
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Which graph represents the system of inequalities?

 

 

laugh

Omi67  Dec 19, 2017
 #2
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Here's one  method :

 

All the graphs of the lines are the same.....just the solution areas are different......so....let's just pick a point  and see if it solves the original system

 

(0,0)  is one I  like to try, first......so we have

 

(0)  + (3/2)(0)   >  -  3   ⇒    0  >  -3     

 

0  -  5   ≤ - 6(0)    ⇒    -5  ≤  0

 

Note that both of these are true.....so  ...(0,0)   is in the solution region.....the only graph that has this point in the solution area is  the lower right graph

 

 

cool cool cool

CPhill  Dec 19, 2017

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