
Dwight S. answered 06/02/13
Experienced, knowledgeable, and dedicated to your success in math
The solution to a systems of inequalities is a region NOT a point like the solution to a system of equations.
The three inequalities you have (X<A, BX+CY>D, Y>F) are all regions divided by a line.
X<A is the regions bounded by the vertical line X=A which passes through the point (A,0). The solution is the area to the left the line since X is less than A
Y>F is the regions bounded by the horizontal line Y=F which passes through the point (0,F). The solution to this is the area above the line since Y is greater than F
BX+CY<D is a region bounded by the slanted line BX+CY=D which, if you want, you can put into slope-intercept form (y=mx+b) in this case we would need to solve for Y. Doing so gives Y>(-B/C)X+D/C. So the slope is (-B/C) and the Y-intercept is (D/C).
If you had actual numbers instead of letters you would be able to graph all of this and you could shade the region that satisfies all of the inequalities.