# Interactive Chalkboard

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```					Example 1 Solve by Graphing
Example 2 No Solution
Example 3 Use a System of Inequalities to Solve
a Problem
Example 4 Use a System of Inequalities
Solve the system of inequalities by graphing.

Answer:
The solution includes the
ordered pairs in the intersection
of the graphs of              and
The region is shaded
in green. The graphs
and             are boundaries of
this region. The graph
is dashed and is not included in
the graph of             . The
graph of              is included
in the graph of
Solve the system of inequalities by graphing.

Answer:
Solve the system of inequalities by graphing.

Answer:
The graphs of                 and
are parallel lines.
Because the two regions have
no points in common, the system
of inequalities has no solution.
Solve the system of inequalities by graphing.

Answer: Ø
Service A college service organization requires that
its members maintain at least a 3.0 grade point
average, and volunteer at least 10 hours a week.
Graph these requirements.
Words       The grade point average is at least 3.0. The
number of volunteer hours is at least 10 hours.
Variables   If    the grade point average and
the number of volunteer hours, the following
inequalities represent the requirements of the
service organization.
Inequalities The grade point average is at least 3.0.

The number of volunteer hours is at least 10.

Answer:
The solution is the set
of all ordered pairs
whose graphs are in
the intersection of the
graphs of these
inequalities.
The senior class is sponsoring a blood drive.
Anyone who wishes to give blood must be at least
17 years old and weigh at least 110 pounds. Graph
these requirements.

Answer:
Employment Jamil mows grass after school but his
job only pays \$3 an hour. He has been offered another
job as a library assistant for \$6 per hour. Because of
school, his parents allow him to work 15 hours per
week. How many hours can Jamil mow grass and work
in the library and still make at least \$60 per week?
Let     the number of hours spent mowing grass and
the number of hours spent working in the library. Since
g and both represent a number of days, neither can be a
negative number. The following system of inequalities can
be used to represent the conditions of this problem.
The solution is the set of all ordered pairs whose graphs
are in the intersection of the graphs of these inequalities.
Only the portion of the region in the first quadrant is used
since         and       .
Answer:

Any point in the region is
a possible solution. For
example (2, 10) is a
point in the region. Jamil
could mow grass for 2
hours and work in the
library for 10 hours
during the week.
Emily works no more
than 20 hours per week
at two jobs. Her baby-
sitting job pays \$3 an
hour and her job as a
cashier at the bookstore
pays \$5 per hour. How
many hours can Emily
work at each job to earn
at least \$80 per week?

Answer:

number of hours baby sitting
number of hours working as a cashier

```
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