SOLUTION: how do i graph the inequality 4-2x<-2 when there is no Y value?

There are two kinds of graphs, 1-dimensional and 2-dimensional (there
are also 3-dimensional graphs too but you won't study them unless or until 
you take more advanced mathematics courses.)

Either way we begin by solving the inequality:

4 - 2x < -2
   -2x < -6
     x > 3


If you are studying one-dimensional graphs (number lines) then the graph is
on one number line:

-----------------------------o================>
-4  -3  -2  -1   0   1   2   3   4   5   6   7

The circle is open because the value 3 is not included, since
3 is not greater than itself.

But if you're studying two-dimensional graphs you have two number lines,
namely a horizontal one called "the x-axis" and a vertical number line
called "the y-axis", and have this:


  

Notice the green line is dotted and not solid on this 2-dimensional 
graph for the exact same reason that the circle is open and not closed
on the one-dimensional (number line) graph.  3 is not greater than 3.
Now there is no way to shade with this computer program I'm using, but
the graph is supposed to be shaded to the right of the green dotted
vertical line that passes through 3 on the x-axis.


 

Edwin