Question

True or false, there is no solution to the systems of inequalities shown below

Answer 1

False 
Because if you plot a graph to both the equation as i have attached the image.. you can see there can be multiple solution to the above system of inequalities. 

Answer 2

False.
there are solutions to this system of inequalities.
-> For a quick check you can take random x, e.g. consider x=0, and substitute it       in the inequality, which gives 
    y<5  and  y>4 . 
    there are infinite number of y satisfying these conditions.
-> You can solve it graphically to get exact solution. draw the line y=3x+5 and          y = -x+4. The common region, below y=3x+5 and above y=-x+4 , is  the solution for the system of inequalities.