My y= window now has 5 boxes, an = ,<, greater than or equal sign, > and a less than or equal sign on the bottom of the window and my graph window now has three boxes on the bottom that have Shades, PoI-Trace and a ?, how do I get rid of them?

https://www.youtube.com/watch?v=FHOE4EvYCm8

https://www.youtube.com/watch?v=IDG20QMlcm8

Graphing on a Number Line
Integers and real numbers can be represented on a number line. The point on this line associated with each number is called the graph of the number. Notice that number lines are spaced equally, or proportionately (see Figure 1).
Figure 1. Number lines.

Graphing inequalities
When graphing inequalities involving only integers, dots are used. Example 1 Graph the set of x such that 1 ? x ? 4 and x is an integer (see Figure 2).
{ x:1 ? x ? 4, x is an integer}

Figure 2. A graph of {x:1 ? x ? 4, x is an integer}.
When graphing inequalities involving real numbers, lines, rays, and dots are used. A dot is used if the number is included. A hollow dot is used if the number is not included.
Example 2 Graph as indicated (see Figure 3).
1.Graph the set of x such that x ? 1.
{ x: x ? 1}
2.Graph the set of x such that x > 1 (see Figure 4).
{ x: x > 1}
3.Graph the set of x such that x < 4 (see Figure 5).
{ x: x < 4}
This ray is often called an open ray or a half line. The hollow dot distinguishes an open ray from a ray.

Figure 3. A graph of { x: x ? 1}.

Figure 4. A graph of { x: x > 1}

Figure 5. A graph of { x: x < 4}
Intervals
An interval consists of all the numbers that lie within two certain boundaries. If the two boundaries, or fixed numbers, are included, then the interval is called a closed interval. If the fixed numbers are not included, then the interval is called an open interval. Example 3 Graph.
1.Closed interval (see Figure 6).
{ x: -1 ? x ? 2}
2.Open interval (see Figure 7).
{ x: -2 < x < 2}

Figure 6. A graph showing closed interval { x: -1 ? x ? 2}.

Figure 7. A graph showing open interval { x: -2 < x < 2}.
If the interval includes only one of the boundaries, then it is called a half-open interval.
Example 4 Graph the half-open interval (see Figure 8).
{ x: -1 < x ? 2}

Figure 8. A graph showing half-open interval { x: -1 < x ? 2}.

In mathematics, if there are 2 numbers being looked at as an inequality, the greater-than symbol usually goes in between the two and symbolizes that the first number is greater than the second number (For example: 4 > 2, or 102 > 100).

Greater-than sign - Wikipedia

https://en.wikipedia.org/wiki/Greater-than_sign greater than less than or equal than Google Search

This is 'greater than' >, eg X is greater than 3......... X > 3

This is 'less than' <, eg Y is less than 3......... Y < 3
.

You, or someone else played with INEQALZ (inequalty graphing) applications. The problem is thet it remains in memory and takes over the graphing duties from the native OS. If you do not want Inequalz to manage the graphing, just kick it out of memory.
Press [APPS¨] key.
Use arrows to scroll through the list of APPS.
Locate INEQALZ and highlight it.
Press [ENTER]
In the new screen INEQALZ RUNNING, press the number that corresponds to the option Uninstall.

First step is to find inequality in the form y<f(x), in this case y<5-0.5x. Then graphing it. See captured image

In HTML (2.0) < means "less-than sign"
> means "greater-than sign" >

I would expect L> to render as; L>

As far as I know there is no specific L> symbol.

Here is an absurd example of a piecewise function
Y1=11 for X less than 10
Y1=3 for X in the range [10, 20[
Y1=X+5 for X in the range [20, 30[
Y1=10 for X larger than 30

Here is the screen capture of the Y= editor window.
You have

1. the definition of the function within a domain, enclosed in () followed by the domain enclosed in ()
2. a + to introduce the second piece (definition) (domain)
   
3. + a third piece (definition ) (domain)
4. and so on.
5. Use the [2nd][TEST] key sequence to access the relational operators, less than, greater than, etc.

Here are two screen captures for the Y= editor and the resulting graph. You have to play with the window dimension to display a clear graph. Note : 3 pluses in equation, 4 pieces in graph. The + in the definition of the function, (X+5) in the third interval does not count towards the number of pieces.





You can use the logical AND operator in the definition of the limits of a domain. See screen capture below.

On Casio calculators, inequality grap?ing has always been part of the OS. To perform inequality graphs, press the graph icon.
Press the F3 key to open the TYPE tab at the bottom of screen.
Use the F6 key to access other choices.The relational operators are then displayed and you can select the one you want to create the inequality function.

The casio manual is rather comprehensive and I am surprised that you could not find an answer to your questions. Did you leaf through it?

Graph 2X PLUS 1 for X in open interval ]-1,0[

It should be entered as follows
(2X plus 1) (X larger than negative 1) (X less than zero)

In [Y=] editor and on line Y1= type your right hand side between parentheses (2X Plus 1). I use the Plus instead of the usual sign because the parser of the web site removes the sign.
[( ]2 [X,T,theta,n] [Plus] 1 [)] [(] [X,T,theta,n] [2nd][MATH] [3: larger than] [(-)] 1 [)] [(] [X,T,Theta,n] [2nd][MATH][5: less than] 0 [)]
Here are some screen captures to help you

Hello,
To enter the inequation you split it into two inequalities

Graph is as follows

Use [2nd][CATALOG] to access the relaional operators less than or equal, greater than or equal, and the operator AND.
To access the inequality signs scroll upwards from abs( to reach the bottom of the catalog.
Note: You can use t as variable only in parametric graphs. Use x.
Hope it helps.