Solve a System of Inequalities by Graphing

Solve the system of inequalities by graphing:

[latex]Y\le -X+1\\ Y\le 2X+3[/latex]

The solution includes the ordered pairs in the intersection of the graphs y<-x + 1 and y< 2x + 3. This region is shaded darker blue in the graph below.  The graphs of y= -x + 1 and y = 2x + 3 are the boundary lines of this region.  The graph of y = -x + 1 is dashed and is not included in the graph y< -x + 1.  The graph of y = 2x + 3 is included in the graph of y< 2x + 3.

system of inequality

 

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