Writing Systems of Linear Inequalities

Algebra II Pre AP
WS 3.4 A and 3.4 B
Name ___________________________
Date ___________________ Per____
Graphing Systems of Linear Inequalities
Graph each system of linear inequalities. Tell whether the solutions produce a bounded or unbounded region and
y
label the vertices of the region.
10
1.
x0
y0
2x  y  6
x  2y  6
x
-1
-1
2.
x0
y0
y
10
10
x y 2
2x  y  4
x
-1
-1
Writing Systems of Linear Inequalities
3.
4.
10
Odd One Out
y  2 x  3
y  3
x y3
y  x
 2 x  y  1
Which coordinate point is the Odd
One Out?

3,1

0,3

2,1

 2,4

1,0

2,1

3,3

3,5
x 3
Which inequality is the Odd One Out?
Shante is buying movie tickets and gift cards
as prizes for her school fundraiser. She
needs at least five tickets and more than
two gift cards. A movie ticket cost $6 and a
gift card cost $10. The most she wants to
spend is $70. Write a system of linear
inequalities that represent the situation. Let
x be the number of tickets and y be the
number of gift cards to be purchased.

x5

y2

6 x  10 y  70
The prom committee from Fort Bend
High School consists of six to nine
representatives from the junior and
senior classes. The committee must
include at least three juniors and no
more than four seniors. Write a system
of linear inequalities that represent the
situation. Let j be the number of juniors
and s be the number of seniors that can
serve on the committee.

j3

s4

js6

js9
Why is it the Odd One Out?
Why is it the Odd One Out?