3.3: Systems of
Inequalities
A goal without a plan is
just a wish.
Graphing Inequalities
Ex1)
2
y  x3
3
y  2 x  5
Ex2) 2 x  y  4
2 x  5 y  10
Graphs of Inequalities
Write a system of linear inequalities from the following graphs.
Ex3)
Ex4)
Application
Ex5) You need to make a fence for your rectangular garden. The
length of the garden can be no more than 40 ft, and you have 140
feet of fencing that you can use.
a) Write a system of inequalities to represent the situation.
b) Graph the inequalities.
c) What does the double-shaded region
represent?
Application
Ex6) Suppose you have two jobs, babysitting that pays $5 per hour
and sacking groceries that pays $6 per hour. You can work no more
than 20 hours each week, but you need to earn at least $90 per week.
a) Write a system of inequalities to represent the situation.
b) Graph the inequalities.
c) How many hours can you work
at each job?
Graphing Absolute Value Systems
Ex7) y  x
y  x4 2
Ex8) x  3 y  12
y  2 x  3  8
7.6: Systems of
Linear Inequalities
HW # 5-15 odd, 16,
17-29 odd
A goal without a plan is
just a wish.