Get 0 on the right



Get LCD of 







Critical values are gotten by setting
numerators and denominators = 0 and solving.

We can't set the numerator = 0 since it's -2
We set the denominator = 0



 and 

Now we make a number line and mark those critical values

 -----------o---------o-----------
 -3   -2   -1    0    1    2    3

Now we choose any value to the left of -1, say -2

Substitute it into









That is true so we shade the part of
the number line to the left of -1:

<===========o---------o-----------
 -3   -2   -1    0    1    2    3

Next we choose any value between -1 and 1, 
say, 0 and substitute it into











That is false so we do not shade the part of
the number line between -1 and 1, so we still
have:

<===========o---------o-----------
 -3   -2   -1    0    1    2    3

Next we choose any value to the right of 1, say 2

Substitute it into









That is true so we shade the part of
the number line to the right of 1:

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

The critical values do not satisfy the inequality
because they cause 0's in the denominator, so
we leave them open.

Now we translate this graph into interval notation:

   

Edwin