a2 ch 1 1.7 notes.notebook
1
August 27, 2012
Absolute Value
•
Absolute Value – the distance from zero a number is
on the number line – it is always positive
•
Symbol :
│x│
•
Definition:
•
If x is positive ( x > 0) then
│x│ = x
•
If x is negative ( x < 0) then
│x │ = x
•
Absolute Value Equations have a possibility of two solutions
•
This is because the value inside the │ │ can equal either the
negative or
the positive of the value on the other side of the equal
sign
•
Always isolate the absolute value expression on one side of the
equal sign
before
breaking the problem into two pieces
Absolute Value Equations and Inequalities
Solve 15 – 3
x
 = 6.
The value of 15 – 3
x
can be
6 or –6 since 6 and –6 both equal 6.
Check:
Try This Problem
│3x + 2 │ = 7
Check your answer by plugging it back into the equation.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Documenta2 ch 1 1.7 notes.notebook
2
August 27, 2012
Solve 4 – 2
x
+ 9 = –5.
Try This Problem
Solve 2
│3x 1 │ + 5 = 33.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '12
 MicheleMurphy
 Equations, Mathematical logic

Click to edit the document details