Please show that the following linear program is infeasible:
Look at your constaints, the first is:
The second is:
multiply this through by -1, which changes the direction of the inequality to give:
Now divide though by 2 to get:
So we have for a feasible point (x_1,x_2):
x_1+x_2<=2 and x_1+x_2>=5
which is a contradiction, so there are no feasible points, and so the problem is infeasible.