SOLUTION: Solve -17 < x < 12 or 12 &#8804; x < 24

-17 < x < 12 or 12 ≤ x < 24

Make the number line graph of -17 < x < 12 


-----o=====================o---------o-----
   -17                    12        24

Make the graph of 12 ≤ x < 24 on another number line
using the same scale as the first:

-----o---------------------⚫=========o-----
   -17                    12        24 

Place them one above the other:

-----o=====================o---------o-----
   -17                    12        24
-----o---------------------⚫=========o-----
   -17                    12        24

Since the word between the inequalities is "OR",
We must make a single number line of what points
are shaded on on one OR the other number line.

As you can see all the points are shaded either on 
the first number line OR are shaded on the 
second number line, so the solution set is defined
by this number line:

-----o===============================o-----
   -17                    12        24

And in interval notation that is (-17,24)

Edwin