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Transcript
```1­5 A2.notebook
September 06, 2011
1­5 Absolute Value Equations & Inequalities
Know properties of inequalities. Know how to identify extraneous solutions.
Understand­how to apply the concept of dividing by a negative in an inequality situation to develop your skills at solving absolute value inequalities.
1. Graph y = ­3x + 2
2. Graph y ­ 5 = 7 ­ x
Do­ Solve absolute value equations and inequalities. Remember you must check solutions to inequalities....there are sometimes EXTRANEOUS SOLUTIONS!
3. Graph ­6x < ­12
Jun 11 ­ 4:06 PM
Aug 13­9:19 AM
A. Absolute Value Equations
3. Solve 1) I
sola
te t
he 2) S
abs
e
bot t th
olu
e
te v
valu h the abs
alu
olu
p
e
o
e.
equ on
s
te
al s the itive a valu
ign oth nd e =
.
er s neg to ide ativ
of e
the 1. The absolute value of a number is its distance from zero on the number line and distance is nonnegative.
2. Solve
2y ­ 4 = 12 or 2y ­ 4 = ­12
Check the solutions.
Jun 11 ­ 4:07 PM
Jun 11 ­ 4:11 PM
4. Solve
5. Solve
­9/5 is an extraneous solution ­ a solution of a derived equation that isn't a solution of the original equation.
Jun 11 ­ 4:12 PM
Jun 11 ­ 4:15 PM
1
1­5 A2.notebook
September 06, 2011
B. Absolute Value Inequalities
2. Solve and graph 1. If then x is more than 3 units from 0 on the number line.
­5
­4
­3
­2
­1
0
1
2
x < ­3 or 3
4
5
x > 3
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1
Jun 11 ­ 4:17 PM
2 3 4
5 6 7 8 9 10
Jun 11 ­ 4:21 PM
4. Solve and graph
3. Properties
is equivalent to or
is equivalent to Jun 11 ­ 4:22 PM
Jun 11 ­ 4:26 PM
!
!!!!
ct
Pra
s
'
et
HW: pg. 36 (3­27 multiples of 3, 37, 38, 44, 45)
!!
ice
L
BOARD WARS!!!!!!
Aug 30­7:37 AM
Aug 13­9:12 AM
2
```