--------------------------------------------
Learn rules for removing absolute values from
inequalities of these forms:


Rule 1:
-------------------------------------------
      
,  (where N is not negative)

Write as 

, , respectively.

then solve. [If N is negative, there is no solution,
and solution set = Ø)


------------------------------------------------------
------------------------------------------------------

Rule 2:
-------------------------------------------
,  (where N is not negative)

Write as 

, 
respectively.

Then solve each part.  (If N is negative, solution set is 
"all real numbers".)
------------------------------------------

You need Rule 2.  I gave you Rule 1 also because you
will need it for other problems:







So write:



Solve each part:

Add 5 to both sides of both parts:



Divide both sides of both parts by ,
Notice that dividing an inequality by a NEGATIVE
NUMBER reverses the inequality sign:





So we shade the number line:

1. to the right of -1
and
2. to the left of , which is the same as .


<=======@-----------@==================>
 -3       -2       -1        0        1            

The circles should be darkened since the inequalities
are all underlined:

Solution in interval notation is 

(,] U [,)

Edwin