Determine the solution to the system of inequalities.

Question

2x-y<4

y>-x+1

Answer 1

By flipping the inequality sign of the lower inequality and subtracting, we get:

   2x-y < 4

-  x+1 < y      

 x - Y - 1 < 4 - Y

Now, add y+1 to both sides: --->  X < 5 OR  X > -5

By doing similar modifications: ---->               Y > -6 

 By Subtracting:                                                    

                                                         X -Y > 1