Since the shaded region is to the right of the solid y-axis and above the solid x-axis, we have two
more inequalities involved:
x ≥
0
and
y ≥ .
0
y
≤ −
5
x
+
5
1
y
≤ −
x
+
2
The system of inequalities is:
2
≥
x
0
y
≥
0
The inequalities may be written in another equivalent form. For example, the following systems
of inequalities are equivalent to the one above:
5
5
x y
+ ≤
5
x y
+ ≤
5
+
1
x
2
y
≤
4
x y
+ ≤
2
2
x
≥
0
≥
x
0
y
≥
0
y
≥
0
***
Math 1313
Page 21 of 21
Section 1.4