Download 2.5 Linear inequalities

Warm up 8/25
Find the intercepts of each line
1. 3x + 2y = 18
(0, 9), (6, 0)
2. Find the equation of the linear
function and graph
(–2, –3) and (2, 5).
3. State whether the relation is a function. Explain how you
know
Homework Group
Check in with your group!
See which problems you have questions on
Help your group member.
Still unsure ? Thank about what you need to
ask. Write those questions down.
- Go over as a class.
Be seated before the bell rings
Agenda:
DESK
homework
Warm-up (in
your notes)
Quiz – today
Ch 2 test tues 9/1
Warmup
Go over hw p.
110 & 120
Quiz
Note 2.5
Before the quiz:
Group Study:
1.6 / 1.7 relations and function notation
( back left)
1.9 parent graphs
( back right)
2.1/2.2 Solve equations/inequalities/
proportions
( front right)
2.3/2.4 Graph and write equations of linear
function parallel and perpendicular lines
( front left )
Notebook
1
Table of content
1) 1-1 Sets of Numbers /1.2
Properties of Numbers
2) 1-3 Square Roots
3) 1-4 Simplify Algebra Expression
4) 1.6 Relations/1.7 functions
5) 1.9 Parent Functions
6) 2.1 Linear Equations/
2.2 Proportions
7) 2.3 & 2.4
8) 2.5
Inequalities
Page
1
2.5 Linear
inequalities
Learning targets
● 2.5 : I can graph linear
inequalities in 2 variables
● I can write a linear
inequality that models a
real-word problem and
graph the inequality to
represent the solutions.
Don’t forget test retakes
2.5 Graphing Linear Inequalities
Graphing linear inequalities, it is
nearly the same as graphing linear
equation. An equal sign below the
inequality means we have a
__________ line and no equal sign
mean we have a __________. In
order to solve we must___________
or we can _____________________
Dash Lines
Solid Lines
2.5 Linear Inequalities
inequality :
ab
a b
ab
a is less than b
a is greater
than b
At least
a is less than or
equal to b
At most
Example:
Problem-Solving Application
A school carnival charges $4.50 for
adults and $3.00 for children. The
school needs to make at least $135 to
cover expenses.
A. Using x as the adult ticket price and y as
the child ticket price, write and graph an
inequality for the amount the school
makes on ticket sales.
B. If 25 child tickets are sold, how many adult
tickets must be sold to cover expenses?
1
Understand the Problem
The answer will be in two parts: (1) an inequality graph
showing the number of each type of ticket that must be sold to
cover expenses (2) the number of adult tickets that must be
sold to make at least $135 if 25 child tickets are sold.
List the important information:
• The school sells tickets at $4.50 for adults
and $3.00 for children.
• The school needs to make at least $135.
Homework
P 128; 9. 10, 22-35
Closer:
Summarize what one person in your
group learned in class today.