



We know
how to graph things like:












But what
do we do with: 











What we
need is a formula to use 


to get
rid of the absolute value lines. 


Here it
is ... 











The first
formula is pretty easy to remember, 


but it
would be nice if there was a trick 


to help
us keep the other two straight. 





10
< X + 3 < 10 which has X in the middle, 


takes up LESS
space to write than the other one 


so it
goes with less than: (x + 3>10) 





X + 3
> 10 or X + 3 < 10 which has two pieces, 


takes up
a GREATER amount of space than the other one 


so it
goes with greater than (X + 3>10) 





And from
there, you can find X. 





Oh sure
you can, 


we did
this kind of stuff two pages ago. 





Example: 





Solve for
X and graph ... 








So: 








So the
graph looks like this ... 











Example: 





Solve for
X and graph ... 








So: 











DID
YOU SEE THE LESS THAN AND GREATER THAN SIGNS 


CHANGE
DIRECTION WHEN WE DIVIDED BY 5? 





So: 





The graph
of this is: 











copyright 2005 Bruce Kirkpatrick 
