Coordinates of the vertices of the feasible region? Help?

really having a hard time with this problem. Step by step answers would greatly help for future reference. Thanks in advanced.

x ≥ 2, y - x ≥ -3, and x + y ≤ 5

find the coordinates of the vertices of the feasible region.

a. (2, -1) (2, 3) (4, 1)

b. (0, -3) (0, 5) (4, 1)

c. (2, 0) (3, 0) (4, 1) (2, 3)

d. (0, 0) (0, 5) (3, 0) (4, 1)

Re: Coordinates of the vertices of the feasible region? Help?

Quote:

Originally Posted by

**jenbones** really having a hard time with this problem. Step by step answers would greatly help for future reference. Thanks in advanced.

x ≥ 2, y - x ≥ -3, and x + y ≤ 5

find the coordinates of the vertices of the feasible region.

a. (2, -1) (2, 3) (4, 1)

b. (0, -3) (0, 5) (4, 1)

c. (2, 0) (3, 0) (4, 1) (2, 3)

d. (0, 0) (0, 5) (3, 0) (4, 1)

sketch the graphs of x __>__ 2 , y __>__ x - 3 , and y __<__ 5 -x

the boundary line intersections will give you the vertices of the feasible region.

Re: Coordinates of the vertices of the feasible region? Help?

Quote:

Originally Posted by

**skeeter** sketch the graphs of x __>__ 2 , y __>__ x - 3 , and y __<__ 5 -x

the boundary line intersections will give you the vertices of the feasible region.

How would I go about graphing x ≥ 2, y - x ≥ -3, and x + y ≤ 5 ?

In the example in my textbook it does not show how, it just displays it already graphed.

Re: Coordinates of the vertices of the feasible region? Help?

Quote:

Originally Posted by

**jenbones** How would I go about graphing x ≥ 2, y - x ≥ -3, and x + y ≤ 5 ?

In the example in my textbook it does not show how, it just displays it already graphed.

you need to learn how ...

Graphing Linear Inequalities