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The answer to your question is yes and no and that's because they are other examples of intervals!!Such as the set of all real numbers,the set of all negative real numbers and the empty set
Real intervals play an important role in the theory of integration because they are the simplest sets whose"size"or"measure"or"length"is easy to define!!*looks around the class*

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And what's is the connection with the line sir?!!*raises her hand*Why are at the same category?

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The notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth*writes on the blackboard*"Line (geometry)"
It's a little different category from the intervals since the invervals are central to interval arithmetic a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas even in the presence of uncertainties,mathematical approximations,and arithmetic roundoff!!
In coordinate geometry lines in a Cartesian plane can be described algebraically by linear equations!! In two dimensions the equation for nonvertical lines is often given in the slopeintercept form*writes on the blackboard again*
"y = mx+c
where:
m is the slope or gradient of the line
c is the yintercept of the line
x is the independent variable of the function y = f(x)" What do you see here?!!

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*lifts his hand and points the board*The x?!!

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*looks at Kain and smiles a little bit then turns and looks Kaname again*

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Exactly,there is the x from the interval!!As you notice everything connected even if they are in different category or in the same!!All started with the point so it's normal all the others have small or big connections!! In mathematics nothing is just fate or something that people put there from there mind!!They have study them and this is the result!!
Now I will not stuck very long at the line,since it's geometry and we haven't started that yet,and I will continue with the Intervals!! Intervals are likewise defined on an arbitrary totally ordered set such as integers or rational numbers!!The interval of numbers between a and b,including a and b is often denoted [a,b],the two numbers are called the endpoints of the interval!!*erase the first list on the blackboard and writes"Endpoints"* To indicate that one of the endpoints is to be excluded from the set the corresponding square bracket can be either replaced with a parenthesis or reversed!!*looks the clock*But we are going to talk about that next time!!Please remember those today because it's important,not for me,but for you to know and get this because it's the start for every mathematics and you will get lost without the "first ones"*sits on the desk*And have a good night everyone!!Dismiss!!

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Fuckyeah!!XD Free time till bedtime!!XD*gets up happy*Are you coming Abs?!!

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*smiles to you*No sorry!!Tonight I will go with Kaname!! I'm not feeling pretty well and I need rest!!Have fun and take care yourself okay?!! ^^

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Aaaaw That's too bad!!*pats your head gently*Well then,get well soon and be careful!!XD

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*gets up and takes the papers*Aby let's go!!*offers you his hand*

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*smiles to Kain*Thank you Kain!!You too!!Have fun!!*looks at Kaname and blushes a little bit with a smile*Yes Kaname!!*takes your hand gently and follows you*

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Spoiler Alert! Click to show or hide Cross Academy – Night Class Math Exams
1. Select the most Basic Shapes:
• Sphere
• Polygonal
• Rectangle
• Triangle
• Oval
• Polygon
• Quad
• Circle
• Octagon
• Square
• Parallelogram
• Diamond
2. Fill the gap:
• We having at least________ shapes that___________ eye can see
• With_________ people can create any shape they want
• Some mathematically welldefined shapes are:
1  _________surface
2  _________surface
3  _________surface
4  _________surface
5  _________surface
6  _________surface
7  _________surfaces
• The most basic shapes are__________________________ and from all these shapes other shapes are created like_________________________________ etc
3. Write why the point is the start for everything:
4. Write what number is the x in the followings equations:
• (x+5)*18=180 x=
• 2727+8=x x=
• 2x+2+4*4=42 x=
• 12x*x*4=132 x=
• 8x=8 x=
• 45x=0 x=
• 12*(x+12+2210)+48=408 x=
5. What does it mean the word "(real)Interval?
Good Luck to all of you!!

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*takes the test and looks at it carefully*ooohh man....it already looks hard for me!wish i hadn't forgotten my maths...!*sighs*oh well!here goes nothing...!*takes out a pen and starts thinking*

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*takes the test and study it,hears a voice outside and blinks a little bit*Huh?!!*sits on her desk and thinks*......Hmmmmmm.....*looks behind at Aspa*You forgotten your maths,what about me who doesn't know maths at all!!

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*comes in with his MP3 on and sits on his desk*Hello!!
