Name: 
 

Systems of Inequalities



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which system of inequalities best represents this graph?

mc001-1.jpg
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 
 
Solve the system of inequalities by graphing.
 

 2. 

x > 1
y > 8
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 

y > x – 1
mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 
 
Given below are some inequalities. Plot the feasible region graphically.
 

 4. 

x mc004-1.jpg 3.8
y mc004-2.jpg 2.8
3.8x + 2.8y mc004-3.jpg 9
f(x, y) = x mc004-4.jpg y
a.
mc004-5.jpgvertices: (3.8, 2.8), (0.31, 2.8), (3.8, –1.94)
max: f(3.8, –1.94) = 5.74
min: f(0.31, 2.8) = –2.49
c.
mc004-7.jpgvertices: (3.8, 2.8), (0.31, 2.8), (3.8, –1.94)
max: f(3.8, –1.94) = 5.74
min: f(0.31, 2.8) = –2.49
b.
mc004-6.jpgvertices: (2.8, 3.8), (–0.43, 3.8), (2.8, –0.59)
max: f(2.8, –0.59) = 3.39
min: f(–0.43, 3.8 ) = –4.23
d.
mc004-8.jpgvertices: (3.8, 2.8)
max: f(3.8, 2.8) = 1
min: f(3.8, 2.8) = 1
 



 
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