Section 2-4 Absolute Values in
open Sentences
DO NOW: Take out your homework from last night,
your notes, a calculator, and pencil.
Objective: To solve open sentences involving absolute
value
Review from section 2-2
Problem

The Perez family has 100 more
shares of stock B than of stock
A. The current price per share of
stock A is $18.50 and stock B is
$24.75. At most how many
shares of each do they have if
the average price per share is
greater than $22?
Solution

The problem asks for the
maximum number of shares of
each stock

Let a= number of shares of
stock A, Then a+100= number
of shares of stock B.
 18.5a+24.75(a+100)
a+(a+100

Solve
>22
Review
Problem

The Perez family has 100 more
shares of stock B than of stock
A. The current price per share of
stock A is $18.50 and stock B is
$24.75. At most how many
shares of each do they have if
the average price per share is
greater than $22?
Solve
2-4 Absolute Value in
Open Sentences

Sentence
Equivalent Sentence

|x|=
X=-1 or x=1
Distance between x and 0
equals 1
•
|x| >1
X<-1 or x>1
Distance between x and 0
is greater than 1
|x|<1
Distance between x and 0
is less than 1
-1 <x<1

Graph
SOLVE: |3x-2|=8
3x-2=8
3x-2= -8

3x-2= -8
OR
Find the
Solution Set

3x-2=8
|3-2t|<5

Solve: |3-2t|<5

Solution: |3-2t|<5 is equivalent to this conjunction

-5<3-2t<5
Solve |2z-1|+3>

And graph it’s solution set
Use this time to start in on
your homework

Page 75, section A 9,10,17

Section B 19, 20

Section C 33
Did we reach out objective: To solve open
sentences involving absolute value