5x-y<-2 and 5x -y>6
5x - y < -2 ==> 5x + 2 < y ==> y > 5x + 2 ==> is the violet area
5x - y > 6 ==> 5x - 6 > y ==> y < 5x - 6 ==> is the gray area
In this case there is no solution to the system of inequalities because there is no intersection of both areas