Which graph represents this system of inequalities?%0D%0A%0D%0Ax + y < 3 and 2x − y > 11
Unfortunately, without any provided graph options, I am unable to directly provide you with a graph representation of the given system of inequalities. However, I can explain how to graph these two inequalities separately, and then find the overlapping region to represent the system.
To graph the first inequality, x + y < 3:
1. Sketch the line x + y = 3, which is the boundary line.
2. Because the inequality symbol is < (less than), you need to shade the region below the line to represent all the points that satisfy x + y < 3.
To graph the second inequality, 2x - y > 11:
1. Sketch the line 2x - y = 11, which is the boundary line.
2. Because the inequality symbol is > (greater than), you need to shade the region above the line to represent all the points that satisfy 2x - y > 11.
To represent the system of inequalities, find the overlapping region between the two shaded regions from the previous steps. This overlapping region will be the graph representation of the system "x + y < 3 and 2x - y > 11".