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.