SOLUTION: If I had this equation -5 <font face="symbol">£</font> 2x+1 < 11 and my final answer was -3 <font face="symbol">£</font> x < 5 and the interval notation is [-3,5), what would the

 
I know you only wanted to see the number line, but I think
I'll check to see if you have the right solution and interval
notation. 

-5 £ 2x+1 < 11
-1      -1   -1   (subtracting from all three sides)
---------------
-6 £ 2x   < 10   
-3 £  x   <  5   (dividing all
                  three sides by a
                  positive number,
                  which means we 
                  leave the 
                  inequalities as 
                  they are.)

OK, so you solved it correctly!:

Let's draw a number line and number it, like this:

------------------------------------------------------
-5  -4  -3  -2  -1   0   1   2   3   4   5   6   7   8

Let's put a closed circle at -3 on the number line, because it
involves "or equal to". I'll use the "at" symbol " @ " for a 
closed circle. 

---------@--------------------------------------------
-5  -4  -3  -2  -1   0   1   2   3   4   5   6   7   8 

Now let's put an open circle on the 5.  I'll use 
an open circle since it is strictly less and doesn't 
involve "or equal to". I'll use an " o " for an open 
circle.

---------@-------------------------------o------------
-5  -4  -3  -2  -1   0   1   2   3   4   5   6   7   8 

Now we want to do some shading.  Here's the best way to think
of this a different way:

-3 £ x  <  5

If x is in the middle, it's easier to see if you first break it 
up as 

-3 £ x AND x < 5

And then write the £ as an equivalent ³ by reversing
the first using the rule if A £ B  then B ³ A.
So we have:

x ³ -3 AND x < 5

"Greater than" means "to the right of" on the number line and
"less than" means "to the left of" on the number line.

So we shade the part of the number line that is both to the right of
-3 and also to the left of 5, like this: 

---------@===============================o------------
-5  -4  -3  -2  -1   0   1   2   3   4   5   6   7   8

So that's the number line graph, now I'll explain the interval 
notation. It is just an abbreviation for the number line graph
above. It is, as you correctly say, [-3,5)

You use a bracket, either "[" or this "]" depending on which side 
of the shading it's on, for a closed circle, " @ ".

You use a parenthesis, either "(" or this ")", depending on which 
side it's on, for an open circle, " o ". The two numbers separated
by a comma in between are the endpoints of the shaded region.

Edwin