Question

What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?

y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6

The polygon obtained by graphing the system of inequalities is a .

The area of the polygon bounded by the inequalities is square units.

Answer 1

the answer 
please look at the image on the attached file
when all the inequalities are placed, the result figure is a triangle
so the answer is a triangle
its area can be determined by the following formula:

S= w x l
according to the figure w = 6, and l=10
so S = 6x10=60 cm²