Systems of Inequalities

Name:

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

Which system of inequalities best represents this graph?

a.		c.
b.		d.

Solve the system of inequalities by graphing.

x > 1
y > 8

a.		c.
b.		d.

y > x – 1

a.		c.
b.		d.

Given below are some inequalities. Plot the feasible region graphically.

3.8
y

2.8
3.8x + 2.8y

9
f(x, y) = x

a.	vertices: (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.	vertices: (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.	vertices: (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.	vertices: (3.8, 2.8) max: f(3.8, 2.8) = 1 min: f(3.8, 2.8) = 1