let's proceed to graph each case to verify the solution
using a graph tool
case A. -4x-3y<12
see the attached figure N 1
case B. -3x-4y<12 see the attached figure N 2
case C. -4y-3y >12
see the attached figure N 3
case D. -3y-4y<12
see the attached figure N 4
the answer is
A. -4x-3y<12
