Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Graph a System of Linear Inequalities
Unit 5
Section 5
Mar 16­10:53 AM
1
Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Steps
1st : Make sure the inequalities are in
Slope­Intercept form
2nd : Graph and shade the 1st inequality. 3rd : Graph and shade the 2nd inequality. 4th: Indicate the solution region, which is the overlapping section.
Mar 16­10:56 AM
2
Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Using two different color writing utensils, graph the solution region for each system of inequalities.
Mar 16­10:58 AM
3
Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Graph the linear inequalities.
Mar 16­11:00 AM
4
Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Linear Equations Quick Review
1.) Jack is twice as old as Scott. Eight years ago Jack was 3 times as old as Scott. Write and solve a system of linear equations to find the present ages.
2.) The ratio of sugar cookies to chocolate chip cookies is 2:3. If there are 45 cookies altogether, how many of each cookie are there?
Mar 22­7:32 AM
5
Unit 5 Section 5 System of Linear Inequalities.notebook
March 14, 2016
Keystone Ready
Tyreke always leaves a tip of between 8% and 20%
for the server when he pays for his dinner. This can
be represented by the system of inequalities shown
below, where y is the amount of tip and x is the
cost of dinner.
y > 0.08x
y < 0.2x
Which of the following is a true statement?
A. When the cost of dinner ﴾ x﴿ is $10, the amount
of tip ﴾ y﴿ must be between $2 and $8.
B. When the cost of dinner ﴾ x﴿ is $15, the amount
of tip ﴾ y﴿ must be between $1.20 and $3.00.
C. When the amount of tip ﴾ y﴿ is $3, the cost of
dinner ﴾ x﴿ must be between $11 and $23.
D. When the amount of tip ﴾ y﴿ is $2.40, the cost of
dinner ﴾ x﴿ must be between $3 and $6.
Aug 21­1:33 PM
6