Question 78754
<pre><b><font size = 4>
How do I graph the solution set of x<-7??? Thanks ALLLLLOT to 
whomever, helps me with this one!!!

It depends on whether you are graphing on a NUMBER LINE or on an
XY-GRAPH. I'll show you both ways:

1. If you are graphing on a NUMBER LINE then this is the way:

Start with a number line:
</b>
------------------------------------------------------------
 -10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4
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Put a circle at -7: <b>

---------------o--------------------------------------------
 -10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4
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Then remember the rule "<font color = "red">L</font>ess is <font color = "red">L</font>eft, and g<font color = "red">R</font>eate<font color = "red">R</font> is <font color = "red">R</font>ight".  

x < -7 is <font color = "red">L</font>ess, so we shade the line <font color = "red">L</font>eft of the "o", and put an
arrowhead on the end.

<==============o</b>--------------------------------------------
 -10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4
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2. If you are to graph x < -7 on an XY-GRAPH, then forget that 
and do it this way:

First draw a vertical line through -7 on the x-axis. However 
you MUST draw it DOTTED.  I can only draw SOLID lines here, 
but you can draw it DOTTED on your paper.

{{{graph(300,300, -10, 4, -7, 7, 999(x+7))}}}

Then you shade the area to the left of that vertical line, like
this:
 
{{{graph(300,214, -10, 4, -5, 5, 999(x+7), -4*sqrt(-x-7)/sqrt(-x-7),-2*sqrt(-x-7)/sqrt(-x-7),1*sqrt(-x-7)/sqrt(-x-7),3*sqrt(-x-7)/sqrt(-x-7),-6*sqrt(-x-7)/sqrt(-x-7),5*sqrt(-x-7)/sqrt(-x-7),-5*sqrt(-x-7)/sqrt(-x-7),-3*sqrt(-x-7)/sqrt(-x-7))}}}

Don't forget to draw your vertical line dotted and not solid
as I have it here. What I have drawn above is the graph of 
x <u><</u> -7, not x < -7.  When you have <u><</u> or <u>></u> you must 
draw the vertical line solid, but otherwise you must draw 
it dotted.

Edwin</pre>