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Which system of inequalities is represented by the graph?

 Dec 17, 2017
 #1
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First we can see that  one of the lines has the equation  y = x , and the shade is below this line,

so  y ≤ x  is one of the inequalities.

 

Then the dotted line has the equation  y = -2x - 2 , and the shade is above this line

so one of the inequalities must be  y > -2x - 2

 

The only option that has those two is the last one.  The last option is the correct one.

Here's a graph:  https://www.desmos.com/calculator/bjnoosya26

 Dec 17, 2017

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